# DMA 50 Worksheet #1 Introduction to Graphs: Analyzing, Interpreting, and Creating Graphs

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1 DMA 0 Worksheet #1 Introduction to Graphs: Analzing, Interpreting, and Creating Graphs A graph will be given followed b a set of questions to answer. Show our work. The bar graph below shows the number of students b major in the College of Arts and Sciences. Answer the question. 1) How man students are majoring in Math? 2) About how man students are in the College of Arts and Sciences? 3) Which major has the largest number of students? 4) Which major has about students? ) How man more students are majoring in math than in science? 6) What is the average number of students taking Histor, English, and Science? Round our answer to the nearest whole student if necessar. 7) The English department assigns a counselor to each student majoring in English. Each counselor is assigned 0 students. How man counselors are needed? 8) The science department is planning to bu some new equipment. The want to make sure that there is one of the new machines for ever students majoring in science. If each machine costs \$80, how much should the budget for the new equipment? 1

2 Use the pictograph to answer the questions. 9) This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive ears. Between which two consecutive ears is the greatest decline in sales indicated? Year Projected CD Sales = 0,000 CDs ) Using the pictograph, how man more CDs were projected to be sold during the band's best projected ear versus their least projected sales ear? Use the circle graph to solve the problems. 11) A surve of the 417 vehicles on the campus of State Universit ielded the following circle graph. Find the number of vans. Round our result to the nearest whole number. 11% 14% 3% 8% 3% 29% 12) Referring to the circle graph, how man more hatchbacks are there than convertibles? 2

3 13) Referring to the circle graph, which vehicle showed up the least in the surve? How man of that vehicle were there? Use the graph to answer the questions. Sales (Thousands of \$) Big "D" Sales ( ) Month 14) Which month in 2008 had the lowest sales? 1) Which month in 2009 had the highest sales? 16) What was the increase in sales between month and month 6 of 2009? 17) What were the total sales for the first 6 months of 2009? 18) What were the total sales for 2008? 19) What was the total increase in sales from 2008 to 2009? 20) What was the difference between the highest and lowest monthl sales in 2008? 3

4 21) The histogram below shows the efficienc level (in miles per gallon) of 1 cars. How man cars have an efficienc between 1 and 20 miles per gallon? 22) Using the histogram, determine how man cars have an efficienc of more than 20 miles per gallon. 23) Using the histogram, determine the percentage of cars that have an efficienc of less than 20 miles per gallon. Round our answer to the nearest tenth of a percent. 4

5 Answer Ke Testname: DMA-00 WORKSHEET 1 1) 200 2) approimatel 120 3) English 4) Science ) 0 6) approimatel 20 students 7) 8 8) \$2,00 9) Between 2014 and 201 ) \$800,000 11) approimatel 433 vans 12) approimatel 1138 more hatchbacks than convertibles 13) sedans, approimatel ) Month 3 1) Month 12 16) \$ ) \$366,000 18) \$82,000 19) \$182,000 20) \$ ) 3 22) 40 23) approimatel 63.6%

6 DMA 0 Worksheet #2 The Rectangular Coordinate Sstem, Graphing Linear Equations, and Intercepts Show our work. If the problem is a real world application or "word problem", write a complete sentence as our final answer. 4) A(0, -2), B (0, ) Plot the ordered pairs on the rectangular coordinate sstem provided. 1) A(1, 3), B(-2, 4) 6 6 ) A(, 0), B (-4, 0) 2) A(-3, -3), B(-, 2) 6 6 List the quadrant(s) in which the given point is located. 6) (4, 2) 3) A(4, 1), B(1, -3) 7) (-13, 16) 8) (-1, -14) 9) (3, -19) 6 ) (-18, 0) 11) The first coordinate is positive. 12) The second coordinate is negative. 13) The coordinates have the same sign. 1

7 Graph the linear equation b creating a table and finding ordered pairs. 14) = Find the - and -intercepts for the equation. Use a table to create the ordered pairs. Then graph the equation. 17) + 3 = ) = ) 4-20 = ) = 7 19) =

8 Graph the horizontal or vertical line. 20) = 2 23) ) = Write an equation for the graph. 22)

9 Answer Ke Testname: DMA-00 WORKSHEET 2 PART 1 OF 2 1) 6 A B 6 A B 2) 6 A B 6 A B 3) 6 A B 6 A B 4) 6 A B 6 A B 4

10 Answer Ke Testname: DMA-00 WORKSHEET 2 PART 1 OF 2 ) B A 6 6) I 7) II 8) III 9) IV ) On an ais 11) I, IV 12) III, IV 13) I, III 14) )

11 Answer Ke Testname: DMA-00 WORKSHEET 2 PART 1 OF 2 16) ) 6, 0, 0, ) (0, -1), (, 0)

12 Answer Ke Testname: DMA-00 WORKSHEET 2 PART 1 OF 2 19) (0, -1), (-, 0) ) ) ) = 4 23) = 2 7

13 24) Greg s cell phone plane charges a fied monthl fee, plus an amount for each minute over the number of minutes included with the plan. Last month, Greg went over b 38 minutes, and the bill was \$7.. This month, Greg went over b 84 minutes and the bill was \$ a. Fill in the following chart using the information above. = Number of Minutes Over = Total Bill b. Write two ordered pairs using the information above. c. Label the grid and ais, then plot the two ordered pairs below. Use a straight edge or ruler to connect the two points. Etend the line until it crosses the -ais. d. What was the total bill when Greg eceeded the plan b 38 minutes? e. What was the total bill when he eceeded the plan b 84 minutes? f. What would the total bill have been if Greg did not eceed his minute limit? Hint: 0 minutes g. What would the total bill have been if he eceeded the plan b 0 minutes? h. How man minutes did he go over if the bill was \$94.00? 1

14 2) The hourl wage of an emploee at a certain production compan is given b =.2 + 9, where is the number of units produced b the emploee in an hour. a. Complete the table. (# of units made) (hourl wage) 20 b. Label and graph the equation. c. Find the number of units that an emploee must produce each hour to earn an hourl wage of \$12.2. Use the graph to make an estimate (prediction) and then use the equation to find the answer mathematicall. d. If the emploee does not make an units, how much mone does he/she make? In our opinion, does this seem fair? 2

15 26) The cost, in dollars, for a compan to produce computer desks is given b = a. Complete the table below. (# of computers) (cost) 1 20 b. Label and graph the equation. c. Use the graph to find the number of computer desks that can be produced for \$ d. Use the equation to find the number of computer desks that can be produced for \$ e. Does it still cost the compan mone if no computer desks are made? If so how much? 3

16 Answer Ke Testname: DMA-00 WORKSHEET 2 PART 2 OF 2 24) a. \$7., \$77.80 b.(38,7.),(84,77.80) c.graph d.\$7. e.\$77.80 f. appro \$40.00 g. appro \$62.0 h. appro 120 min 2)a. \$.2, \$11.0, \$14.00 b. Graph c. appro 13 units d. \$9.00/hour,opinions ma var 26) a. \$800, \$6200, \$6600 b. Graph c. appro 4 computers d. 4 computers e. es, \$000 4

17 DMA 0 Worksheet #3 Slope Show our work. If the problem is a real world application or "word problem", write a complete sentence as our final answer. Find the slope of the line. 1) ) )

18 4) - - Graph the line containing the given pair of points and find the slope. ) (2, -8) (-1, 4) ) (6, -3) (3, 7) Find the slope of the line going through the pair of points. 7) (8, 6), (-6, -9) 2

19 8) (1, 9), (7, -9) 9) (6, ), (-4, ) ) (-9, -9), (-9, -7) Find the slope of the line. 11) 2-3 = 12) = ) = 21 14) -4 = ) = -1 16) = -4 Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 17) 3-4 = = 4 18) = = 14 3

20 19) = = 8 Solve the problem. 20) Kannanaski Rapids drops 64 ft verticall over a horizontal distance of 811 ft. What is the slope of the rapids? 21) Over one particular stretch of road, the Whitepoint Highwa rises 49 ft over a horizontal distance of 3400 ft. Find the grade of the road. Find the slope (or rate of change). Use appropriate units. 22) Find the slope (or pitch) of the roof. 7.1 ft 2.8 ft Solve the problem. 23) The following graph shows data for a recent train ride from New York to Toronto. Find the rate of change of the distance from New York with respect to time, in miles per hour Time of Da (PM) 4

21 24) The value of a particular car is represented in the following graph. Find the rate of change of the value of the car with respect to time, in dollars per ear. v t 2) The value of a particular computer sstem is represented in the following graph. Find the rate of change of the value of the computer sstem with respect to time, in dollars per ear. 4 v Time from purchase (in ears) t 26) Find the rate of change. Use appropriate units Distance Traveled in Miles Number of Hours Spent Traveling

22 27) Find the rate of change. Use appropriate units Value of Car in Thousands of Dollars Number of Years of Use 6

23 Answer Ke Testname: DMA-00 WORKSHEET 3 1) 1 4 2) -1 3) Undefined 4) 0 ) ) ) ) - 3 9) 0 ) Undefined 11) ) 13) ) 1 2 1) Undefined 16) 0 17) Perpendicular 7

24 Answer Ke Testname: DMA-00 WORKSHEET 3 18) Parallel 19) Neither 20) ) 14.6% 22) 39.4% 23) 60 miles per hour 24) -\$700 per ear 2) -\$20 per ear 26).0 miles per hour 27) -\$4,000 per ear 8

25 DMA 0 Worksheet #4 Equations of Lines Show our work. If the problem is a real world application or "word problem", write a complete sentence as our final answer. Graph using the slope and the -intercept. 1) = ) = ) -2 =

26 4) 2 - = Find an equation of the line with the given slope and -intercept. Write the equation in slope intercept form (=m+b) and in standard form (A+B=C). ) Slope = 8, -intercept = (0, -) 6) Slope = -4.7, -intercept = (0, 3.0) Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form and standard form. 7) (4, ), m = - 2 8) (3, 4), m = Find an equation of the line that contains the given pair of points. Write the equation in the form = m + b and A+B=C. 9) (-4, 0) and (0, -) ) (-4, -8) and (3, -2) 2

27 11) (9, 7) and (9, -) 12) (3, -3) and (-, -3) The net three problems are equations of horizontal or vertical lines. Write the equation in the form of = # or = #. 13) (-7, -), m = 0 14) (-6, ) and (-6, 9) 1) (-, ) and (, ) Write an equation of the line described. Write the equation in the form of = m + b and A + B = C. 16) Through (-, -2), parallel to 3 + = 17) Through (-3, -8), perpendicular to = 80 18) Through (-9, -4), perpendicular to = 7 Solve the problem. 19) Assume that the sales of a certain appliance dealer are approimated b a linear function. Suppose that sales were \$14,000 in 1982 and \$77,000 in Let = 0 represent Find the equation giving earl sales. 20) Persons taking a 30-hour review course to prepare for a standardized eam average a score of 620 on that eam. Persons taking a 70-hour review course average a score of 792. Find a linear function S(t), which fits this data, and which epresses score as a function of time. 3

28 21) A gas station sells 4820 gallons of regular unleaded gasoline in a da when the charge \$1.3 per gallon, whereas the sell 3884 gallons on a da that the charge \$1.40 per gallon. Find a linear function that epresses gallons sold as a function of price. Use this function to predict the number of gallons sold at a price of \$1.24 per gallon. 22) The total sales made b a salesperson was \$2,000 after 3 months and \$68,000 after 23 months. Predict the total sales after 30 months. 4

29 Answer Ke Testname: DMA-00 WORKSHEET 4 1) ) 3)

30 Answer Ke Testname: DMA-00 WORKSHEET 4 4) ) = 8-6) = ) = ) = ) = ) = ) = 9 12) = -3 13) = - 14) = -6 1) = 16) = ) = ) = -4 19) S() = 12, ,000 20) S(t) = 4.3t ) gallons 22) \$83,00 6

31 DMA 00 Review Show our work. If the problem is a real world application or "word problem", write a complete sentence as our final answer. Use the pictograph to answer the question. 1) This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive ears. Approimatel how man fewer CDs will be sold in 2007 than in 20? Year Projected CD Sales =,000 CDs 2) Using the pictograph above, which ear is projected for having the least sales? 3) How man total CDs are projected to be sold in 20, 2011, 2012, and 2013? The bar graph below represents various colors of cars sold. Use the graph to answer the question(s). 4) Estimate the number of red cars sold. ) Estimate how man more tan cars were sold than ellow cars. 6) Which color sold the closest to 30,000 cars? 1

32 The line graph below shows the price of a stock over the course of the da. Use the graph to answer the question(s) Stock Price 6 (in dollars) AM AM 11AM 12PM 1PM 2PM 3PM 4PM PM 6PM 7) At what time was the stock price the lowest? 8) What happened between 11am and 12pm? Did this happen between two consecutive time intervals at an other time during the da? 9) What is the difference between the opening stock price (9am) and the closing stock price (6pm)? Use the circle graph to solve the problem. ) The circle graph shows the percent of the total population of 4,400 of Springfield living in the given tpes of housing. 40% 31% 2% 8% 19% Find the number of people who live in single famil houses. Round our result to the nearest whole number. 2

33 Find the slope of the line. 11) ) Find the slope of the line containing the two given points. 13) (14, -11) and (-19, 18) Find the slope of the line. 14) 2 + = 26 3

34 Find the slope (or rate of change). Use appropriate units. 1) 40 Value of Car in Thousands of Dollars Number of Years of Use Graph the equation b determining the missing values needed to plot the ordered pairs. 16) - 2 = -6; Fill in the missing values of the four ordered pairs below. Plot these four points and sketch the line. (0, ), (, 0), (2, ), (, 2)

35 Graph using an technique of our choice. 17) = Graph. 18) = Graph using an technique of our choice. 19) + 4 = Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 20) = = 21

36 Write an equation for the line described. Give our answer in standard form. That is, A + B = C. 21) through (0, 3), m = 2 3 Write an equation for the line described. Give our answer in slope-intercept form. That is = m + b. 22) m = -9, through (-7, 4) Find an equation of the line that contains the given pair of points. Write the equation in the form = m + b. 23) (6, 2) and (3, 0) Write an equation for the line described. Write the equation in the form specified. 24) perpendicular to 2 - = 0, through (, 8); standard form Solve the problem. 2) The total sales made b a salesperson was \$2,000 after 3 months and \$68,000 after 23 months. Predict the total sales after 4 months. 6

37 Answer Ke Testname: DMA 0 REVIEW 1) 70,000 CDs 2) ) CDs 4) 60,000 ) 20,000 6) Tan 7) 9am 8) The stock price remained the same. This also happened from 4pm to pm. 9) \$3.00 ) 18,160 people 11) ) Undefined 13) ) - 2 1) -\$2000 per ear 16) ) - 7

38 Answer Ke Testname: DMA 0 REVIEW 18) ) ) Parallel 21) 2-3 = -9 22) = ) = ) + 2 = 41 2) \$11,300 8

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