NAME DATE PERID Lesson Homework Practice Constant Rate of Change Determine whether the relationship between the two quantities described in each table is linear. If so, find the constant rate of change. If not, eplain our reasoning.. Fabric Needed for Costumes. Distance Traveled on Bike Trip Number of Costumes 6 8 Fabric (d) 7 8 Da Distance(mi).8.6 68.8 9.6 Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. For Eercises and, refer to the graphs below.. Hawk Diving Toward Pre Altitude (ft.) 6 8 Time (s) a. Find the constant rate of change and interpret its meaning. b. Determine whether a proportional linear relationship eists between the two quantities shown in the graph. Eplain our reasoning.. Book Sales 5, Sales ($),,,, 6 8 Da a. Find the constant rate of change and interpret its meaning. b. Determine whether a proportional linear relationship eists between the two quantities shown in the graph. Eplain our reasoning. Course Chapter Equations in Two Variables 5
NAME DATE PERID Lesson Homework Practice Slope Find the slope of each line.... The points given in each table lie on a line. Find the slope of the line. Then graph the line.. - 5-5. - 8 - - 8 6. - 5 8 - -5-9 8-8 6-8 - 8 - -8-8 Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. 7. HMES Find the slope of the roof 8. MUNTAINS Find the slope of a of a home that rises 8 feet for ever mountain that descends meters for horizontal change of feet. ever horizontal distance of, meters. ft 8 ft m Find the slope of the line that passes through each pair of points., m 9. A(, ), B(, 7). C(, 5), D(, 6). E(, ), F(5, 5). SNWFALL Use the graph at the right. It shows the depth in feet of snow after each two-hour period during a snowstorm. a. Find the slope of the line. b. Does the graph show a constant rate of change? Eplain. c. If the graph is etended to the right, could ou epect the slope to remain constant? Eplain. Depth (ft) Snowfall 6 8 Hours Course Chapter Equations in Two Variables 7
NAME DATE PERID Lesson Homework Practice Equations in = m Form. ADVERTISING The number of vehicles a dealership sells varies directl with the mone spent on advertising. How man vehicles does the dealership sell for each $, spent on advertising? Vehicles Sold Dealership Sales 6 8 Advertising ($,'s). SNWMBILES Bruce rents snowmobiles to tourists. He charges $5 for hours and $.5 for 6 hours. What is the hourl rate Bruce charges to rent a snowmobile?. SLAR ENERGY The power absorbed b a solar panel varies directl with its area. If an 8 square meter panel absorbs 8, watts of power, how much power does a square meter solar panel absorb? Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.. INSECT CNTRL Mr. Malone used pounds of insecticide to cover,7 square feet of lawn and pounds to cover an additional, square feet. How man pounds of insecticide would Mr. Malone need to cover his whole lawn of, square feet? Determine whether each linear function is a direct variation. If so, state the constant of variation. 5. Volume, 6 8 Mass, 7. Time, 8 9 Temp, 68 7 7 77 6. Gallons, 5 5 Miles, 95 9 85 8. Age, 6 9 Height, 8 5 6 ALGEBRA If varies directl with, write an equation for the direct variation. Then find each value. 9. If = -5 when =, find when = 8.. Find when =, if = when =.. If = -7 when = -, what is the value of when = 9?. Find when = 8, if = 5 when =. Course Chapter Equations in Two Variables 9
NAME DATE PERID Lesson Homework Practice Slope-Intercept Form State the slope and the -intercept for the graph of each equation.. = +. = - + 5. - + =. = 5 6-5. + = -7 6. = 5 + Graph each equation using the slope and the -intercept. 7. = - + 8. + = - 9. = - Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.. CAMPING The entrance fee to the national park is $5. A campsite fee is $5 per night. The total cost for a camping trip for nights can be represented b the equation = 5 + 5. a. Graph the equation. b. Use the graph to find the total cost for nights. c. Interpret the slope and the -intercept.. GEMETRY Use the diagram shown. 9 a. Write the equation in slope-intercept form. b. Graph the equation. 7 5 5 6 7 8 c. Use the graph to find the value of if =. Course Chapter Equations in Two Variables
NAME DATE PERID Lesson 5 Homework Practice Graph a Line Using Intercepts State the - and -intercepts of each function.. -6 + 8 =. - 6 = 8. - - =. - - = - 5. + = 6. - - = State the - and -intercepts of each function. Then graph the function. 7. - + = -8 8. 6 - = -8 Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. 9. FARMING Mr. Jeans raises cows and chickens on his farm. Altogether, his cows and chickens have legs. This can be represented b the function + =. Graph the function. Then interpret the - and -intercepts.. MNEY Mont has a total of $9 in ten dollar and five dollar bills. This can be represented b the function + 5 = 9. Interpret the - and -intercepts. Course Chapter Equations in Two Variables
NAME DATE PERID Lesson 6 Homework Practice Write Linear Equations Write an equation in point-slope form and slope-intercept form for each line.. passes through (-5, 6), slope =. passes through (6, -6), slope = 5. passes through (, ) and (, 5). passes through (-5, 9) and (, ) 5. passes through (, -) and (, ) 6. passes through (-, -5), slope = Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. Write the point-slope form of an equation for each line graphed. 7. 8. --- - - - 9. TEMPERATURE The table shows the temperature at certain hours. Assuming the temperature change is linear, write an equation in point-slope form to represent the temperature at hour. ---. SPEED After hours, a car travels 7 miles. After.5 hours in the same trip, the car travels 78.75 miles. Write an equation in point-slope form to represent the distance of the car after hours. - - - Hour Temperature ( F) 5 9 Course Chapter Equations in Two Variables 7