2.1 Intercepts; Symmetry; Graphing Key Equations

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1 Ch. Graphs.1 Intercepts; Smmetr; Graphing Ke Equations 1 Find Intercepts from an Equation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. List the intercepts for the graph of the equation. 1) = + 6 A) (6, 0), (0, -6) B) (-6, 0), (0, -6) C) (-6, 0), (0, 6) D) (6, 0), (0, 6) ) = 3 A) (0, 0) B) (0, 3) C) (3, 3) D) (3, 0) 3) = + 49 A) (7, 0), (0, 49), (0, -49) B) (0, -7), (-49, 0), (0, 7) C) (0, -7), (49, 0), (0, 7) D) (-7, 0), (0, -49), (7, 0) 4) = 4 A) (1, 0) B) (0, 1) C) (1, 1) D) (0, 0) ) = 0 A) (0, -6), (36, 0), (0, 6) B) (6, 0), (0, 36), (0, -36) C) (-6, 0), (0, -36), (6, 0) D) (-6, 0), (0, 36), (6, 0) 6) = 36 A) (-4, 0), (-9, 0), (9, 0), (4, 0) B) (-9, 0), (0, -4), (0, 4), (9, 0) C) (-3, 0), (0, -), (0, ), (3, 0) D) (-, 0), (-3, 0), (3, 0), (, 0) 7) 16 + = 16 A) (-4, 0), (0, -1), (0, 1), (4, 0) B) (-16, 0), (0, -1), (0, 1), (16, 0) C) (-1, 0), (0, -16), (0, 16), (1, 0) D) (-1, 0), (0, -4), (0, 4), (1, 0) 8) = 3-1 A) (0, -1), (0, 1) B) (0, -1), (1, 0) C) (-1, 0), (0, 1) D) (0, -1), (-1, 0) 9) = 4-16 A) (0, 16) B) (0, 16), (-, 0), (, 0) C) (0, -16), (-, 0), (, 0) D) (0, -16) ) = A) (8, 0), (6, 0), (0, 48) B) (0, 8), (0, 6), (48, 0) C) (-8, 0), (-6, 0), (0, 48) D) (0, -8), (0, -6), (48, 0) 11) = + 1 A) (0, 1), (-1, 0), (1, 0) B) (0, 1) C) (1, 0) D) (1, 0), (0, -1), (0, 1) 4 1) = + 16 A) (0, 0) B) (-16, 0), (0, 0), (16, 0) C) (-4, 0), (0, 0), (4, 0) D) (0, -4), (0, 0), (0, 4) Page 1 Copright 013 Pearson Education, Inc.

2 13) = A) (-49, 0), (0, 0), (49, 0) B) (0, -7), (0, 7) C) (-7, 0), (7, 0) D) (0, 0) Page Copright 013 Pearson Education, Inc.

3 Test an Equation for Smmetr MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Plot the point A. Plot the point B that has the given smmetr with point A. 1) A = (-3, -1); B is smmetric to A with respect to the origin A) B) B A B -4-3 A C) D) B B A A Page 3 Copright 013 Pearson Education, Inc.

4 ) A = (0, -1); B is smmetric to A with respect to the origin A) B) A B B A C) D) B A B A Page 4 Copright 013 Pearson Education, Inc.

5 List the intercepts of the graph.tell whether the graph is smmetric with respect to the -ais, -ais, origin, or none of these. 3) A) intercepts: (0, -3) and (0, 3) smmetric with respect to -ais, -ais, and origin B) intercepts: (0, -3) and (0, 3) smmetric with respect to -ais C) intercepts: (-3, 0) and (3, 0) smmetric with respect to origin D) intercepts: (-3, 0) and (3, 0) smmetric with respect to -ais, -ais, and origin 4) A) intercepts: (4, 0) and (-4, 0 smmetric with respect to -ais B) intercepts: (0, 4) and (0, -4) smmetric with respect to -ais, -ais, and origin C) intercepts: (0, 4) and (0, -4) smmetric with respect to origin D) intercepts: (4, 0) and (-4, 0) smmetric with respect to -ais, -ais, and origin Page Copright 013 Pearson Education, Inc.

6 ) A) intercept: (0, ) smmetric with respect to -ais C) intercept: (, 0) no smmetr B) intercept: (0, ) no smmetr D) intercept: (, 0) smmetric with respect to -ais 6) A) intercept: (0, 3) smmetric with respect to origin C) intercept: (3, 0) smmetric with respect to -ais B) intercept: (3, 0) smmetric with respect to -ais D) intercept: (0, 3) smmetric with respect to -ais Page 6 Copright 013 Pearson Education, Inc.

7 7) A) intercepts: (-1, 0), (0, 0), (1, 0) smmetric with respect to -ais B) intercepts: (-1, 0), (0, 0), (1, 0) smmetric with respect to -ais, -ais, and origin C) intercepts: (-1, 0), (0, 0), (1, 0) smmetric with respect to origin D) intercepts: (-1, 0), (0, 0), (1, 0) smmetric with respect to -ais Draw a complete graph so that it has the given tpe of smmetr. 8) Smmetric with respect to the -ais 4 3 (0, ) (, -) A) B) Page 7 Copright 013 Pearson Education, Inc.

8 C) D) ) origin π -π -1 π π A) B) π -π -1 π π -π -π -1 π π Page 8 Copright 013 Pearson Education, Inc.

9 C) D) π -π -1 π π -π -π -1 π π ) Smmetric with respect to the -ais (, 0) (3, 1) A) B) Page 9 Copright 013 Pearson Education, Inc.

10 C) D) List the intercepts and tpe(s) of smmetr, if an. 11) = A) intercepts: (-4, 0), (0, ), (0, -) smmetric with respect to -ais C) intercepts: (0, -4), (, 0), (-, 0) smmetric with respect to -ais B) intercepts: (0, 4), (, 0), (-, 0) smmetric with respect to -ais D) intercepts: (4, 0), (0, ), (0, -) smmetric with respect to -ais 1) = 36 A) intercepts: (3, 0), (-3, 0), (0, ), (0, -) smmetric with respect to -ais and -ais B) intercepts: (, 0), (-, 0), (0, 3), (0, -3) smmetric with respect to -ais and -ais C) intercepts: (, 0), (-, 0), (0, 3), (0, -3) smmetric with respect to -ais, -ais, and origin D) intercepts: (3, 0), (-3, 0), (0, ), (0, -) smmetric with respect to the origin - 13) = - A) intercepts: (, 0), (-, 0), (0, 0) smmetric with respect to origin C) intercept: (0, 0) smmetric with respect to -ais B) intercept: (0, 0) smmetric with respect to -ais D) intercept: (0, 0) smmetric with respect to origin Determine whether the graph of the equation is smmetric with respect to the -ais, the -ais, and/or the origin. 14) = + 1 A) -ais B) -ais C) origin D) -ais, -ais, origin E) none Page Copright 013 Pearson Education, Inc.

11 1) = -3 A) -ais B) -ais C) origin D) -ais, -ais, origin E) none 16) = 0 A) origin B) -ais C) -ais D) -ais, -ais, origin E) none 17) = 0 A) origin B) -ais C) -ais D) -ais, -ais, origin E) none 18) = 144 A) -ais B) origin C) -ais D) -ais, -ais, origin E) none 19) 16 + = 16 A) -ais B) origin C) -ais D) -ais, -ais, origin E) none 0) = A) -ais B) -ais C) origin D) -ais, -ais, origin E) none 3 1) = + 9 A) origin B) -ais C) -ais D) -ais, -ais, origin E) none Page 11 Copright 013 Pearson Education, Inc.

12 ) = A) -ais B) origin C) -ais D) -ais, -ais, origin E) none 3) = 4 + A) -ais B) origin C) -ais D) -ais, -ais, origin E) none 4) = ( + 6)( - 8) A) -ais B) -ais C) origin D) -ais, -ais, origin E) none ) = A) origin B) -ais C) -ais D) -ais, -ais, origin E) none 6) = A) -ais B) origin C) -ais D) -ais, -ais, origin E) none Solve the problem. 7) If a graph is smmetric with respect to the -ais and it contains the point (, -6), which of the following points is also on the graph? A) (, -6) B) (-, -6) C) (-6, ) D) (-, 6) 8) If a graph is smmetric with respect to the origin and it contains the point (-4, 7), which of the following points is also on the graph? A) (7, -4) B) (4, -7) C) (-4, -7) D) (4, 7) Page 1 Copright 013 Pearson Education, Inc.

13 3 Know How to Graph Ke Equations MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the equation b plotting points. 1) = A) B) C) D) Page 13 Copright 013 Pearson Education, Inc.

14 ) = A) B) C) D) Page 14 Copright 013 Pearson Education, Inc.

15 3) = A) B) C) D) Page 1 Copright 013 Pearson Education, Inc.

16 4) = A) B) C) D) Page 16 Copright 013 Pearson Education, Inc.

17 . Lines 1 Calculate and Interpret the Slope of a Line MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope of the line through the points and interpret the slope. 1) (11, 1) (0, 0) A) -11; for ever 1-unit increase in, will decrease b 11 units B) - 1 ; for ever 11-unit increase in, will decrease b 1 unit 11 C) 11; for ever 1-unit increase in, will increase b 11 units D) 1 ; for ever 11-unit increase in, will increase b 1 unit 11 Find the slope of the line. ) A) 1 B) - 1 C) D) - Page 17 Copright 013 Pearson Education, Inc.

18 3) A) B) - C) 1 D) -1 4) A) -1 B) 3 C) 1 D) -3 ) A) B) - C) 1 D) - 1 Find the slope of the line containing the two points. 6) (8, -4); (-9, 1) A) 17 B) - 17 C) - 17 D) 17 Page 18 Copright 013 Pearson Education, Inc.

19 7) (7, 0); (0, ) A) - 7 B) - 7 C) 7 D) 7 8) (-3, 7); (, -8) A) 3 B) - 3 C) 1 3 D) ) (-7, ); (-7, -1) A) 1 3 B) -3 C) 0 D) undefined ) (3, 7); (-3, 7) A) 0 B) -6 C) 1 6 D) undefined Page 19 Copright 013 Pearson Education, Inc.

20 Graph Lines Given a Point and the Slope MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the line containing the point P and having slope m. 1) P = (3, -7); m = A) B) C) D) Page 0 Copright 013 Pearson Education, Inc.

21 ) P = (-, -7); m = A) B) C) D) Page 1 Copright 013 Pearson Education, Inc.

22 3) P = (-, 0); m = A) B) C) D) Page Copright 013 Pearson Education, Inc.

23 4) P = (0, 6); m = A) B) C) D) Page 3 Copright 013 Pearson Education, Inc.

24 ) P = (0, 6); m = A) B) C) D) Page 4 Copright 013 Pearson Education, Inc.

25 6) P = (-3, 0); m = A) B) C) D) Page Copright 013 Pearson Education, Inc.

26 7) P = (, 0); m = A) B) C) D) Page 6 Copright 013 Pearson Education, Inc.

27 8) P = (9, -); m = A) B) C) D) Page 7 Copright 013 Pearson Education, Inc.

28 9) P = (-1, -); slope undefined A) B) C) D) Find the Equation of a Vertical Line MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find an equation for the line with the given properties. 1) Slope undefined; containing the point (1, -7) A) = 1 B) = -7 C) = 1 D) = -7 ) Vertical line; containing the point (-6, -1) A) = -1 B) = -6 C) = -6 D) = -1 Page 8 Copright 013 Pearson Education, Inc.

29 3) Slope undefined; containing the point - 3 7, 4 A) = B) = 4 C) = D) = 4 4) Vertical line; containing the point (1.8, -8.6) A) = -8.6 B) = 6.8 C) = 1.8 D) = 0 4 Use the Point-Slope Form of a Line; Identif Horizontal Lines MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope-intercept form of the equation of the line with the given properties. 1) Horizontal; containing the point (, ) A) = B) = C) = D) = ) Slope = 0; containing the point (-, 8) A) = 8 B) = 8 C) = - D) = - 3) Horizontal; containing the point - 8 9, 9 A) = 9 B) = 0 C) = D) = -9 4) Horizontal; containing the point (-8.8,.8) A) =.8 B) = 0 C) = 3 D) = -8.8 Find the slope of the line and sketch its graph. ) + = Page 9 Copright 013 Pearson Education, Inc.

30 A) slope = - 1 B) slope = C) slope = 0 D) slope is undefined Find the Equation of a Line Given Two Points MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the equation of the line in slope-intercept form. 1) A) = B) = C) = 7-6 D) = Page 30 Copright 013 Pearson Education, Inc.

31 Find an equation for the line, in the indicated form, with the given properties. ) Containing the points (-, ) and (7, -4); slope-intercept form A) - = - 3 ( + ) B) = C) = D) = m + 3 3) Containing the points (, 0) and (-, ); general form A) - + = -40 B) - = -40 C) + 7 = D) = 4) Containing the points (9, 0) and (0, -6); general form A) 6-9 = 4 B) = C) = D) = 4 3 ) Containing the points (3, -) and (0, ); general form A) = 6 B) = 6 C) -8 + = -4 D) 8 - = -4 6) Containing the points (-7, -) and (0, -4); general form A) = 8 B) = -16 C) - 4 = -16 D) - 7 = 8 7) Containing the points (6, 0) and (-, 3); general form A) -6 + = -3 B) = 18 C) = 18 D) 6 - = -3 8) Containing the points (1, 3) and (-6, ); general form A) + 11 = -67 B) + 7 = 3 C) = -67 D) = 3 Solve. 9) The relationship between Celsius ( C) and Fahrenheit ( F) degrees of measuring temperature is linear. Find an equation relating C and F if C corresponds to 0 F and 30 C corresponds to 86 F. Use the equation to find the Celsius measure of 6 F. A) C = 0 F - ; C B) C = 9 F ; C C) C = F - 80; - C D) C = 9 F ; C ) A school has just purchased new computer equipment for $1, The graph shows the depreciation of the equipment over ears. The point (0, 1,000) represents the purchase price and the point (, 0) represents when the equipment will be replaced. Write a linear equation in slope-intercept form that relates the value of the equipment,, to ears after purchase. Use the equation to predict the value of the equipment after 4 ears A) = - 1, ,000; value after 4 ears is $-63, C) = 400-1,000; value after 4 ears is $ B) = 1,000 + ; value after 4 ears is $ D) = ,000; value after 4 ears is $400.00; Page 31 Copright 013 Pearson Education, Inc.

32 11) The average value of a certain tpe of automobile was $14,160 in 199 and depreciated to $80 in 000. Let be the average value of the automobile in the ear, where = 0 represents 199. Write a linear equation that relates the average value of the automobile,, to the ear. A) = B) = ,160 C) = D) = ) An investment is worth $3398 in 199. B 1999 it has grown to $138. Let be the value of the investment in the ear, where = 0 represents 199. Write a linear equation that relates the value of the investment,, to the ear. 1 A) = B) = C) = D) = ) A faucet is used to add water to a large bottle that alread contained some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 11 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 7 ounces of water. Let be the amount of water in the bottle seconds after the faucet was turned on. Write a linear equation that relates the amount of water in the bottle,, to the time. A) = B) = C) = + 16 D) = + 14) When making a telephone call using a calling card, a call lasting 4 minutes cost $1.0. A call lasting 13 minutes cost $3.00. Let be the cost of making a call lasting minutes using a calling card. Write a linear equation that relates the cost of a making a call,, to the time. A) = B) = 0. - C) = - 94 D) = ) A vendor has learned that, b pricing carmel apples at $1.7, sales will reach 11 carmel apples per da. Raising the price to $.0 will cause the sales to fall to 8 carmel apples per da. Let be the number of carmel apples the vendor sells at dollars each. Write a linear equation that relates the number of carmel apples sold per da,, to the price. A) = B) = C) = D) = ) A vendor has learned that, b pricing pretzels at $1.00, sales will reach 8 pretzels per da. Raising the price to $1.0 will cause the sales to fall to 8 pretzels per da. Let be the number of pretzels the vendor sells at dollars each. Write a linear equation that relates the number of pretzels sold per da to the price. A) = + 6 B) = C) = D) = Write the Equation of a Line in Slope-Intercept Form MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope-intercept form of the equation of the line with the given properties. 1) Slope = ; containing the point (-, 0) A) = - 4 B) = + 4 C) = D) = ) Slope = 0; containing the point (, -) A) = - B) = - C) = D) = Page 3 Copright 013 Pearson Education, Inc.

33 3) Slope = 7; -intercept = 1 A) = 1-7 B) = 7-1 C) = D) = ) -intercept = 3; -intercept = A) = 3 + B) = C) = D) = Write the equation in slope-intercept form. ) 4 + = 6 A) = B) = 4-6 C) = D) = 4-6 6) 7 + = 8 A) = B) = C) = D) = ) - 9 = 7 A) = B) = C) = D) = - 7 8) = A) = B) = C) = 7-3 D) = Solve. 9) A truck rental compan rents a moving truck one da b charging $31 plus $0.09 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number of miles driven. What is the cost of renting the truck if the truck is driven 160 miles? A) C = ; $3.44 B) C = ; $4.40 C) C = ; $16.60 D) C = ; $ ) Each week a soft drink machine sells cans of soda for $0.7/soda. The cost to the owner of the soda machine for each soda is $0.. The weekl fied cost for maintaining the soda machine is $/week. Write an equation that relates the weekl profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekl profit when 9 cans of soda are sold in a week. A) P = ; $94.00 B) P = ; $44.00 C) P = ; $34.80 D) P = ; $ ) Each da the commuter train transports passengers to or from the cit at $1.7/passenger. The dail fied cost for running the train is $100. Write an equation that relates the dail profit, P, in dollars to the number of passengers each da. Then use the equation to find the dail profit when the train has 90 passengers in a da. A) P = 1.7; $16 B) P = ; $8 C) P = ; $4 D) P = ; $4 1) Each month a beaut salon gives manicures for $1.00/manicure. The cost to the owner of the beaut salon for each manicure is $7.3. The monthl fied cost to maintain a manicure station is $ Write an equation that relates the monthl profit, in dollars, to the number of manicures given each month. Then use the equation to find the monthl profit when 00 manicures are given in a month. A) P = ; $8 B) P = ; $130 C) P =1-10; $80 D) P = 4.6; $930 Page 33 Copright 013 Pearson Education, Inc.

34 13) Each month a gas station sells gallons of gas at $1.9/gallon. The cost to the owner of the gas station for each gallon of gas is $1.3. The monthl fied cost for running the gas station is $37,000. Write an equation that relates the monthl profit, in dollars, to the number of gallons of gasoline sold. Then use the equation to find the monthl profit when 7,000 gallons of gas are sold in a month. A) P = ,000; $8,000 B) P = ,000; $7,000 C) P = ,000; $6,000 D) P = ,000; $ Identif the Slope and -Intercept of a Line from Its Equation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope and -intercept of the line. 1) = - 9 A) slope = ; -intercept = - 9 B) slope = 1 ; -intercept = 9 C) slope = - 9; -intercept = D) slope = - ; -intercept = 9 ) + = 1 A) slope = -1; -intercept = -1 B) slope = 0; -intercept = 1 C) slope = 1; -intercept = 1 D) slope = -1; -intercept = 1 3) 6 + = -9 A) slope = 6; -intercept = -9 B) slope = - 3 ; -intercept = C) slope = ; -intercept = - 3 D) slope = -6; -intercept = -9 4) = 3 A) slope = 8 7 ; -intercept = 3 7 B) slope = 7 8 ; -intercept = C) slope = 8; -intercept = 1 D) slope = 1 7 ; -intercept = 3 7 ) = 9 A) slope = 17; -intercept = 9 B) slope = 17 7 ; -intercept = 9 7 C) slope = ; -intercept = 9 7 D) slope = 17 7 ; -intercept = ) 3-7 = 8 A) slope = 3 7 ; -intercept = C) slope = 3 7 ; -intercept = 8 7 B) slope = 7 3 ; -intercept = 8 3 D) slope = 3; -intercept = 8 7) 11-4 = 44 A) slope = ; -intercept = 11 B) slope = ; -intercept = C) slope = 4 ; -intercept = 4 D) slope = 11; -intercept = Page 34 Copright 013 Pearson Education, Inc.

35 8) + 6 = 1 A) slope = 1; -intercept = 1 B) slope = -6; -intercept = 6 C) slope = 1 6 ; -intercept = 1 6 D) slope = ; -intercept = 1 6 9) = 66 A) slope = 6; -intercept = -66 B) slope = - 1 ; -intercept = 11 6 C) slope = -1; -intercept = 66 D) slope = 1 ; -intercept = 11 6 ) = - A) slope = 1; -intercept = - B) slope = 0; -intercept = - C) slope = 0; no -intercept D) slope = -; -intercept = 0 11) = A) slope = 0; -intercept = B) slope undefined; -intercept = C) slope = ; -intercept = 0 D) slope undefined; no -intercept 1) = -6 A) slope = 6; -intercept = 0 B) slope = 0; -intercept = -6 C) slope = - 1 ; -intercept = 0 D) slope = -6; -intercept = Graph Lines Written in General Form Using Intercepts MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. 1) Slope = 3 ; -intercept = 3 A) + 3 = - B) = C) = 3-3 D) - 3 = - ) Slope = - 7 ; containing the point (4, 4) 9 A) = 64 B) = -64 C) 7-9 = 64 D) = -64 3) Slope = - 6 ; containing the point (0, 4) 7 A) 6-7 = 8 B) = 8 C) = -8 D) = -8 4) Slope = 4 ; containing (0, ) 7 A) 7-4 = -3 B) = -3 C) = 3 D) -4-7 = 3 Page 3 Copright 013 Pearson Education, Inc.

36 Find the slope of the line and sketch its graph. ) + 3 = A) slope = - 3 B) slope = C) slope = 3 D) slope = Page 36 Copright 013 Pearson Education, Inc.

37 6) 3 - = A) slope = 3 B) slope = C) slope = - 3 D) slope = Page 37 Copright 013 Pearson Education, Inc.

38 Solve the problem. 7) Find an equation in general form for the line graphed on a graphing utilit. A) + = - B) = C) = D) + = -1 9 Find Equations of Parallel Lines MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find an equation for the line with the given properties. 1) The solid line L contains the point (, 3) and is parallel to the dotted line whose equation is =. Give the equation for the line L in slope-intercept form. - - A) - 3 = ( - ) B) = - 1 C) = + 1 D) = + b ) Parallel to the line = -3; containing the point (, 6) A) = -3-1 B) - 6 = -3 - C) = -3 D) = ) Parallel to the line - = ; containing the point (0, 0) A) = 1 + B) = - 1 C) = - 1 D) = 1 4) Parallel to the line - - = ; containing the point (0, 0) A) = - B) = 1 + C) = - 1 D) = 1 ) Parallel to the line = -8; containing the point (6, 9) A) = -9 B) = -8 C) = 6 D) = 9 6) Parallel to the line = -; containing the point (3, 1) A) = - B) = 1 C) = 1 D) = 3 Page 38 Copright 013 Pearson Education, Inc.

39 7) Parallel to the line = 37; containing the point (, 3) A) = 3 B) + 4 = 37 C) = 7 D) 9-4 = 7 8) Parallel to the line - 3 = -6; -intercept = 3 A) - 3 = 1 B) -3 - = -1 C) - 3 = -9 D) -3 - = -9 Find Equations of Perpendicular Lines MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find an equation for the line with the given properties. 1) The solid line L contains the point (, 3) and is perpendicular to the dotted line whose equation is =. Give the equation of line L in slope-intercept form. - - A) = B) - 3 = ( - ) C) - 3 = - 1 ( - ) D) = ) Perpendicular to the line = 4 + ; containing the point (, ) A) = -4 + B) = 4 + C) = D) = ) Perpendicular to the line = 1 + 9; containing the point (4, -) 9 A) = B) = 9-31 C) = D) = ) Perpendicular to the line - = 7; containing the point (0, 7 ) A) = 6 B) = C) = D) = ) Perpendicular to the line - 7 = 3; containing the point (, ) A) = B) = C) = 7-19 D) = ) Perpendicular to the line = -6; containing the point (, 4) A) = B) = C) = 4 D) = 4 7) Perpendicular to the line = -8; containing the point (9, 7) A) = 9 B) = 9 C) = 7 D) = 7 Page 39 Copright 013 Pearson Education, Inc.

40 8) Perpendicular to the line 9-8 = 19; containing the point (-, 8) A) = 9 B) 8-9 = 3 C) = 3 D) = 19 9) Perpendicular to the line 7 + = -6; containing the point (-, -1) A) - 7 = 3 B) + 7 = -6 C) + 7 = 3 D) 7 - = 3 ) Perpendicular to the line -3 + = -; -intercept = 6 A) -3 + = 1 B) + 3 = 1 C) + 3 = 18 D) -3 + = -18 Decide whether the pair of lines is parallel, perpendicular, or neither. 11) 3-6 = = 14 A) parallel B) perpendicular C) neither 1) 3-4 = = -16 A) parallel B) perpendicular C) neither 13) = = 34 A) parallel B) perpendicular C) neither.3 Circles 1 Write the Standard Form of the Equation of a Circle MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the standard form of the equation of the circle. 1) (3, 4) (9, 4) A) ( + 6) + ( + 4) = 3 B) ( + 6) + ( + 4) = 9 C) ( - 6) + ( - 4) = 3 D) (- 6) + ( - 4) = 9 Page 40 Copright 013 Pearson Education, Inc.

41 ) A) ( - 4) + ( - 1) = 9 B) (- 1) + ( - 4) = 9 C) ( + 4) + ( + 1) = 9 D) ( + 1) + ( + 4) = 9 Write the standard form of the equation of the circle with radius r and center (h, k). 3) r = 4; (h, k) = (0, 0) A) + = 4 B) (- 4) + ( - 4) = 4 C) + = 16 D) ( - 4) + ( - 4) = 16 4) r = ; (h, k) = (1, -9) A) ( + 1) + ( - 9) = B) ( - 1) + ( + 9) = C) ( - 1) + ( + 9) = 0 D) ( + 1) + ( - 9) = 0 ) r = ; (h, k) = (1, 0) A) + ( - 1) = B) + ( + 1) = C) (- 1) + = D) ( + 1) + = 6) r = 8; (h, k) = (0, 1) A) + ( + 1) = 8 B) (- 1) + = 64 C) + ( - 1) = 64 D) ( + 1) + = 64 7) r = 17; (h, k) = (-9, 8) A) ( - 9) + ( + 8) = 17 B) ( + 8) + ( - 9) = 89 C) ( + 9) + ( - 8) = 17 D) ( - 8) + ( + 9) = 89 8) r = 1; (h, k) = (0, 3) A) + ( - 3) = 1 B) + ( + 3) = 1 C) ( + 3) + = D) ( - 3) + = Solve the problem. 9) Find the equation of a circle in standard form where C(6, -) and D(-4, 4) are endpoints of a diameter. A) ( + 1) + ( + 1) = 136 B) ( + 1) + ( + 1) = 34 C) ( - 1) + ( - 1) = 136 D) ( - 1) + ( - 1) = 34 ) Find the equation of a circle in standard form with center at the point (-3, ) and tangent to the line = 4. A) ( - 3) + ( + ) = 4 B) (- 3) + ( + ) = 16 C) ( + 3) + ( - ) = 16 D) ( + 3) + ( - ) = 4 Page 41 Copright 013 Pearson Education, Inc.

42 11) Find the equation of a circle in standard form that is tangent to the line = -3 at (-3, ) and also tangent to the line = 9. A) ( - 3) + ( - ) = 36 B) ( - 3) + ( + ) = 36 C) ( + 3) + ( + ) = 36 D) ( + 3) + ( - ) = 36 Find the center (h, k) and radius r of the circle with the given equation. 1) + = 16 A) (h, k) = (0, 0); r = 16 B) (h, k) = (4, 4); r = 16 C) (h, k) = (0, 0); r = 4 D) (h, k) = (4, 4); r = 4 13) ( + 8) + ( - ) = 64 A) (h, k) = (-8, ); r = 8 B) (h, k) = (, -8); r = 64 C) (h, k) = (, -8); r = 8 D) (h, k) = (-8, ); r = 64 14) ( + 1) + = 144 A) (h, k) = (-1, 0); r = 1 B) (h, k) = (0, -1); r = 144 C) (h, k) = (0, -1); r = 1 D) (h, k) = (-1, 0); r = 144 1) + ( + 7) = 36 A) (h, k) = (-7, 0); r = 36 B) (h, k) = (0, -7); r = 36 C) (h, k) = (0, -7); r = 6 D) (h, k) = (-7, 0); r = 6 16) ( - 6) + ( + ) = 7 A) (h, k) = (6, -); r = 1 B) (h, k) = (-6, ); r = 1 C) (h, k) = (6, -); r = 1 D) (h, k) = (-6, ); r = 1 Solve the problem. 17) Find the standard form of the equation of the circle. Assume that the center has integer coordinates and the radius is an integer. A) ( - 1) + ( + ) = 9 B) = 0 C) = 0 D) ( + 1) + ( - ) = 9 Page 4 Copright 013 Pearson Education, Inc.

43 Graph a Circle MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the circle with radius r and center (h, k). 1) r = ; (h, k) = (0, 0) A) B) C) D) Page 43 Copright 013 Pearson Education, Inc.

44 ) r = 4; (h, k) = (0, 4) A) B) C) D) Page 44 Copright 013 Pearson Education, Inc.

45 3) r = ; (h, k) = (, 0) A) B) C) D) Page 4 Copright 013 Pearson Education, Inc.

46 4) r = ; (h, k) = (4, ) A) B) C) D) Page 46 Copright 013 Pearson Education, Inc.

47 Graph the equation. ) + = A) B) C) D) Page 47 Copright 013 Pearson Education, Inc.

48 6) ( - 1) + ( + ) = A) B) C) D) Page 48 Copright 013 Pearson Education, Inc.

49 7) + ( - 4) = A) B) C) D) Page 49 Copright 013 Pearson Education, Inc.

50 8) ( - 3) + = A) B) C) D) Page 0 Copright 013 Pearson Education, Inc.

51 3 Work with the General Form of the Equation of a Circle MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the center (h, k) and radius r of the circle. Graph the circle. 1) = A) (h, k) = (, -); r = 4 B) (h, k) = (, ); r = C) (h, k) = (-, ); r = 4 D) (h, k) = (-, -); r = Page 1 Copright 013 Pearson Education, Inc.

52 ) = A) (h, k) = (-6, -6); r = 3 B) (h, k) = (-6, 6); r = C) (h, k) = (6, 6); r = 3 D) (h, k) = (6, -6); r = Find the center (h, k) and radius r of the circle with the given equation. 3) ( + ) = 36 A) (h, k) = (-, -3); r = 6 B) (h, k) = (, 3); r = 36 C) (h, k) = (3, ); r = 36 D) (h, k) = (-3, -); r = 6 4) = 64 A) (h, k) = (1, -); r = 8 B) (h, k) = (-, 1); r = 8 C) (h, k) = (, -1); r = 64 D) (h, k) = (-1, ); r = 64 ) = 16 A) (h, k) = (8, 3); r = 4 B) (h, k) = (3, 8); r = 4 C) (h, k) = (-3, -8); r = 16 D) (h, k) = (-8, -3); r = 16 Page Copright 013 Pearson Education, Inc.

53 6) = -44 A) (h, k) = (7, -); r = 3 B) (h, k) = (, -7); r = 9 C) (h, k) = (-, 7); r = 3 D) (h, k) = (-7, ); r = 9 7) = 0 A) (h, k) = ( 3, -); r = 30 C) (h, k) = (- 3 3, ); r= B) (h, k) = (- 3, ); r = 30 D) (h, k) = ( 3, -); r = 3 Find the general form of the equation of the the circle. 8) Center at the point (-4, -3); containing the point (-3, 3) A) = 0 B) = 0 C) = 0 D) = 0 9) Center at the point (, -3); containing the point (, -3) A) = 0 B) = 0 C) = 0 D) = 0 ) Center at the point (-, -3); tangent to -ais A) = 0 B) = 0 C) = 0 D) = 0 Solve the problem. 11) If a circle of radius 4 is made to roll along the -ais, what is the equation for the path of the center of the circle? A) = 0 B) = 4 C) = 4 D) = 8 1) Earth is represented on a map of the solar sstem so that its surface is a circle with the equation = 0. A weather satellite circles 0. units above the Earth with the center of its circular orbit at the center of the Earth. Find the general form of the equation for the orbit of the satellite on this map. A) = 0 B) = 0 C) = 0 D) = 0 13) Find an equation of the line containing the centers of the two circles = 0 and = 0 A) = 0 B) = 0 C) = 0 D) = 0 14) A wildlife researcher is monitoring a black bear that has a radio telemetr collar with a transmitting range of 7 miles. The researcher is in a research station with her receiver and tracking the bearʹs movements. If we put the origin of a coordinate sstem at the research station, what is the equation of all possible locations of the bear where the transmitter would be at its maimum range? A) + = 4 B) + = 79 C) + = 7 D) - = 7 1) If a satellite is placed in a circular orbit of 400 kilometers above the Earth, what is the equation of the path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth is approimatel 1,740 kilometers)? A) + = 160,000 B) + = 17,69,600 C) + = 4,83,900 D) + = 40,76,900 Page 3 Copright 013 Pearson Education, Inc.

54 16) A power outage affected all homes and businesses within a mi radius of the power station. If the power station is located 13 mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected b the power outage. A) + = 0 B) + ( + 13) = 0 C) + ( - 13) = D) + ( - 13) = 0 17) A power outage affected all homes and businesses within a mi radius of the power station. If the power station is located mi west and mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected b the power outage. A) ( - ) + ( + ) = 4 B) ( + ) + ( - ) = 4 C) ( + ) + ( + ) = 4 D) (- ) + ( - ) = 4 18) A Ferris wheel has a diameter of 400 feet and the bottom of the Ferris wheel is 13 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directl below the center of the wheel, as illustrated. 400 ft. 13 ft..4 Variation A) + ( - 13) = 40,000 B) + ( - 00) = 40,000 C) + = 40,000 D) + ( - 00) = 160,000 1 Construct a Model Using Direct Variation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a general formula to describe the variation. 1) v varies directl with t; v = 13 when t = 17 A) v = 13 17t B) v = t C) v = t D) v = t ) A varies directl with t; A = 1 when t = A) A = B) A = t t C) A = t D) A = t 3) z varies directl with the sum of the squares of and ; z = 3 when = 1 and = 8 A) z = 1 3 ( 1 + ) B) z = 1 ( + ) C) z = 1 70 ( + ) D) z = + Page 4 Copright 013 Pearson Education, Inc.

55 If varies directl as, write a general formula to describe the variation. 4) = 6 when = 1 A) = + 6 B) = 1 6 C) = D) = 1 ) = 6 when = 7 A) = - 1 B) = 9 C) = 9 D) = 3 6) = 3 when = 1 9 A) = 1 7 B) = 1 6 C) = D) = 7 7) = 1.6 when = 0.4 A) = 0. B) = 0.4 C) = 4 D) = ) = 0.8 when = 3. A) = -.4 B) = 0.8 C) = 4 D) = 0. Write a general formula to describe the variation. 9) The volume V of a right circular cone varies directl with the square of its base radius r and its height h. The constant of proportionalit is 1 3 π. A) V = 1 3 r h B) V = 1 3 πr h C) V = 1 3 πr h D) V = 1 3 πrh ) The surface area S of a right circular cone varies directl as the radius r times the square root of the sum of the squares of the base radius r and the height h. The constant of proportionalit is π. A) S = πr r + h B) S = πr rh C) S = πr rh D) S = π r + h Solve the problem. 11) In simplified form, the period of vibration P for a pendulum varies directl as the square root of its length L. If P is. sec. when L is 81 in., what is the period when the length is 144 in.? A) 76 sec B) 48 sec C) 36 sec D) 3 sec 1) The amount of water used to take a shower is directl proportional to the amount of time that the shower is in use. A shower lasting 3 minutes requires 11. gallons of water. Find the amount of water used in a shower lasting 4 minutes. A) gal B).87 gal C) 66.1 gal D) 8 gal 13) If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directl proportional to the amount of voltage applied to the circuit. When 6 volts are applied to a circuit, 10 milliamperes (ma) of current flow through the circuit. Find the new current if the voltage is increased to volts. A) 190 ma B) 00 ma C) 0 ma D) 60 ma 14) The amount of gas that a helicopter uses is directl proportional to the number of hours spent fling. The helicopter flies for 3 hours and uses 1 gallons of fuel. Find the number of gallons of fuel that the helicopter uses to fl for hours. A) 3 gal B) 4 gal C) 1 gal D) 40 gal Page Copright 013 Pearson Education, Inc.

56 1) The distance that an object falls when it is dropped is directl proportional to the square of the amount of time since it was dropped. An object falls 39. meters in seconds. Find the distance the object falls in 3 seconds. A) 88. m B) 8.8 m C) 9.4 m D) 6 m Construct a Model Using Inverse Variation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a general formula to describe the variation. 1) A varies inversel with ; A = 4 when = A) A = 8 B) A = 8 C) A = 1 D) A = 16 Write an equation that epresses the relationship. Use k as the constant of variation. ) r varies inversel as. A) r = k B) kr = C) r= k D) r = k 3) varies inversel as the square of m. k A) = B) = m m k C) = m k D) = k m If varies inversel as, write a general formula to describe the variation. 4) = 8 when = 4 A) = 3 B) = C) = 1 3 D) = 3 ) = 0 when = 6 A) = 0 3 B) = 600 C) = D) = 600 6) = 40 when = 1 A) = 00 B) = 8 C) = 1 8 D) = 8 7) = 1 9 when = 4 A) = 1 B) = 1 40 C) = D) = 8) = 0. when = 0. A) = 0.1 B) = 0.4 C) = D) = Solve the problem. 9) varies inversel as v, and = 4 when v = 6. Find when v = 4. A) = 9 B) = 30 C) = D) = 36 ) varies inversel as, and = when = 1. Find when = 6. A) = 0 B) = 180 C) = 0 D) = Page 6 Copright 013 Pearson Education, Inc.

57 11) When the temperature stas the same, the volume of a gas is inversel proportional to the pressure of the gas. If a balloon is filled with 114 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 38 cubic inches. A) 19 psi B) 39 psi C) 8 psi D) 4 psi 7 1) The amount of time it takes a swimmer to swim a race is inversel proportional to the average speed of the swimmer. A swimmer finishes a race in 0 seconds with an average speed of 3 feet per second. Find the average speed of the swimmer if it takes 30 seconds to finish the race. A) 4 ft/sec B) 6 ft/sec C) 7 ft/sec D) ft/sec 13) If the force acting on an object stas the same, then the acceleration of the object is inversel proportional to its mass. If an object with a mass of 18 kilograms accelerates at a rate of 4 meters per second per second (m/sec) b a force, find the rate of acceleration of an object with a mass of kilograms that is pulled b the same force. A) 3 m/sec B) 36 m/sec C) 7 m/sec D) 4 9 m/sec 14) If the voltage, V, in an electric circuit is held constant, the current, I, is inversel proportional to the resistance, R. If the current is 80 milliamperes (ma) when the resistance is ohms, find the current when the resistance is 14 ohms. A) 193 ma B) 1960 ma C) 80 ma D) 40 ma 1) While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversel proportional to the radius of the turn. If the passengers feel an acceleration of feet per second per second (ft/sec) when the radius of the turn is 40 feet, find the acceleration the passengers feel when the radius of the turn is 80 feet. A) ft/sec B) 7 ft/sec C) 8 ft/sec D) 6 ft/sec 3 Construct a Model Using Joint Variation or Combined Variation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a general formula to describe the variation. 1) The square of G varies directl with the cube of and inversel with the square of ; G = when = and = A) G = 1 8 ( 3 + ) B) G = 3 C) G = 8 3 D) G = ) R varies directl with g and inversel with the square of h; R = 3 when g = 3 and h =. A) R = h B) R = g C) R = gh D) R = g g h h 3) z varies jointl as the cube root of and the cube of ; z = when = 8 and =. A) z = B) z = C) z = D) z = ) The centrifugal force F of an object speeding around a circular course varies directl as the product of the objectʹs mass m and the square of itʹs velocit v and inversel as the radius of the turn r. A) F = kmv r B) F = km v r C) F = kmv r D) F = kmr v Page 7 Copright 013 Pearson Education, Inc.

58 ) The safet load λ of a beam with a rectangular cross section that is supported at each end varies directl as the product of the width W and the square of the depth D and inversel as the length L of the beam between the supports. A) λ = k(w + D ) L B) λ = kl WD C) λ = kwd L D) λ = kwd L 6) The illumination I produced on a surface b a source of light varies directl as the candlepower c of the source and inversel as the square of the distance d between the source and the surface. A) I = kd B) I = kc C) I = kc D) I = kcd c d d Solve the problem. 7) The volume V of a given mass of gas varies directl as the temperature T and inversel as the pressure P. A measuring device is calibrated to give V = in3 when T = 70 and P = lb/in. What is the volume on this device when the temperature is 40 and the pressure is lb/in? A) V = 6 in3 B) V = 4 in3 C) V = 8 in3 D) V = 4 in3 8) The time in hours it takes a satellite to complete an orbit around the earth varies directl as the radius of the orbit (from the center of the earth) and inversel as the orbital velocit. If a satellite completes an orbit 640 miles above the earth in 13 hours at a velocit of,000 mph, how long would it take a satellite to complete an orbit if it is at 1700 miles above the earth at a velocit of 39,000 mph? (Use 3960 miles as the radius of the earth.) A) 3.08 hr B). hr C).4 hr D).14 hr 9) The pressure of a gas varies jointl as the amount of the gas (measured in moles) and the temperature and inversel as the volume of the gas. If the pressure is 0 kilopascals (kpa) when the number of moles is 6, the temperature is 340 Kelvin, and the volume is 70 cc, find the pressure when the number of moles is, the temperature is 60 K, and the volume is 600 cc. A) 0 kpa B) 780 kpa C) 160 kpa D) 8 kpa ) Bod-mass inde, or BMI, takes both weight and height into account when assessing whether an individual is underweight or overweight. BMI varies directl as oneʹs weight, in pounds, and inversel as the square of oneʹs height, in inches. In adults, normal values for the BMI are between 0 and. A person who weighs 170 pounds and is 68 inches tall has a BMI of.8. What is the BMI, to the nearest tenth, for a person who weighs 14 pounds and who is 6 inches tall? A) 1 B) 0.3 C) 0 D) ) The amount of paint needed to cover the walls of a room varies jointl as the perimeter of the room and the height of the wall. If a room with a perimeter of 60 feet and 8-foot walls requires 4.8 quarts of paint, find the amount of paint needed to cover the walls of a room with a perimeter of feet and 8-foot walls. A) 8.8 qt B) 44 qt C) 4.4 qt D) 440 qt 1) The power that a resistor must dissipate is jointl proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate 7 watts of power when 6 amperes of current is flowing through the resistor whose resistance is ohms, find the power that a resistor needs to dissipate when amperes of current are flowing through a resistor whose resistance is ohms. A) watts B) 0 watts C) 0 watts D) 60 watts Page 8 Copright 013 Pearson Education, Inc.

59 13) While traveling in a car, the centrifugal force a passenger eperiences as the car drives in a circle varies jointl as the mass of the passenger and the square of the speed of the car. If a passenger eperiences a force of 30.4 newtons (N) when the car is moving at a speed of 80 kilometers per hour and the passenger has a mass of 40 kilograms, find the force a passenger eperiences when the car is moving at 70 kilometers per hour and the passenger has a mass of 80 kilograms. A) 441 N B) N C) 3.8 N D) 39 N 14) The amount of simple interest earned on an investment over a fied amount of time is jointl proportional to the principle invested and the interest rate. A principle investment of $ with an interest rate of 1% earned $19.00 in simple interest. Find the amount of simple interest earned if the principle is $ and the interest rate is %. A) $86.00 B) $38.00 C) $43.00 D) $ ) The voltage across a resistor is jointl proportional to the resistance of the resistor and the current flowing through the resistor. If the voltage across a resistor is 4 volts (V) for a resistor whose resistance is 6 ohms and when the current flowing through the resistor is 4 amperes, find the voltage across a resistor whose resistance is 9 ohms and when the current flowing through the resistor is amperes. A) 18 V B) 1 V C) 36V D) 8 V Page 9 Copright 013 Pearson Education, Inc.

60 Ch. Graphs Answer Ke.1 Intercepts; Smmetr; Graphing Ke Equations 1 Find Intercepts from an Equation 1) C ) A 3) B 4) D ) D 6) C 7) D 8) B 9) C ) C 11) B 1) A 13) C Test an Equation for Smmetr 1) C ) B 3) D 4) B ) B 6) D 7) C 8) B 9) D ) B 11) D 1) C 13) D 14) E 1) C 16) B 17) C 18) D 19) D 0) E 1) A ) C 3) A 4) E ) A 6) E 7) D 8) B 3 Know How to Graph Ke Equations 1) B ) C 3) A 4) C Page 60 Copright 013 Pearson Education, Inc.

61 . Lines 1 Calculate and Interpret the Slope of a Line 1) D ) D 3) D 4) C ) D 6) B 7) A 8) B 9) D ) A Graph Lines Given a Point and the Slope 1) B ) C 3) D 4) A ) D 6) A 7) C 8) D 9) D 3 Find the Equation of a Vertical Line 1) C ) B 3) C 4) C 4 Use the Point-Slope Form of a Line; Identif Horizontal Lines 1) A ) A 3) A 4) A ) C Find the Equation of a Line Given Two Points 1) C ) C 3) C 4) A ) B 6) A 7) B 8) B 9) D ) D 11) B 1) D 13) D 14) D 1) C 16) C 6 Write the Equation of a Line in Slope-Intercept Form 1) B ) B 3) C Page 61 Copright 013 Pearson Education, Inc.

62 4) D ) C 6) B 7) B 8) D 9) B ) C 11) C 1) A 13) D 7 Identif the Slope and -Intercept of a Line from Its Equation 1) A ) D 3) D 4) A ) C 6) A 7) B 8) D 9) D ) B 11) D 1) D 8 Graph Lines Written in General Form Using Intercepts 1) D ) A 3) B 4) C ) B 6) A 7) A 9 Find Equations of Parallel Lines 1) B ) D 3) D 4) A ) D 6) D 7) C 8) A Find Equations of Perpendicular Lines 1) A ) C 3) C 4) D ) B 6) B 7) D 8) C 9) A ) C 11) B 1) B 13) A Page 6 Copright 013 Pearson Education, Inc.

63 .3 Circles 1 Write the Standard Form of the Equation of a Circle 1) D ) A 3) C 4) C ) C 6) C 7) C 8) A 9) D ) D 11) A 1) C 13) A 14) A 1) C 16) C 17) D Graph a Circle 1) B ) D 3) D 4) B ) B 6) C 7) B 8) B 3 Work with the General Form of the Equation of a Circle 1) B ) A 3) D 4) A ) B 6) C 7) A 8) A 9) A ) B 11) C 1) D 13) D 14) B 1) C 16) D 17) B 18) A.4 Variation 1 Construct a Model Using Direct Variation 1) C ) D 3) A 4) D ) B Page 63 Copright 013 Pearson Education, Inc.

64 6) D 7) C 8) D 9) C ) A 11) D 1) A 13) B 14) A 1) A Construct a Model Using Inverse Variation 1) D ) D 3) D 4) D ) D 6) B 7) D 8) A 9) C ) C 11) D 1) D 13) B 14) D 1) A 3 Construct a Model Using Joint Variation or Combined Variation 1) D ) D 3) B 4) A ) C 6) B 7) C 8) B 9) B ) D 11) C 1) C 13) C 14) A 1) A Page 64 Copright 013 Pearson Education, Inc.

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