Lesson 1 Homework Practice

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1 NAME DATE PERID Lesson Homework Practice Representing Relationships Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.. PRDUCTIN A manufacturer produces 9 light bulbs per da. a. Write an equation to find the number of bulbs b the manufacturer makes in an number of das d. b = 9d b. Use the equation to determine how man bulbs the manufacturer will make in das.,7 bulbs. WATER The workers at a plant drink gallons of water per da. a. Write an equation to find the number of gallons g the workers drink in an number of das d. g = d b. Use the equation to determine how man gallons of water the workers will drink in das., gal. ALLWANCE Chet gets $ per week as allowance. a. Write an equation to find the amount of allowance a Chet receives in an number of weeks w. a = w b. Make a table to find the amount of allowance Chet receives in,, 7, or weeks. Then graph the ordered pairs. Weeks, w 7 Allowance, a $7 $ $9. MEASUREMENT There are ounces in a pound. a. Write an equation to find the number of ounces n in an number of pounds p. n = p b. Make a table to find the number of ounces in,,, or pounds. Then graph the ordered pairs. Pounds, p unces, n Das, d Bulbs, b 9,9,, Das, d Gallons, g 7 Course Chapter Functions Allowance ($) unces Weeks 7 Pounds

2 NAME DATE PERID Lesson Homework Practice Relations Name the ordered pair for each point.. A (-. B, ) (, ). C (-, -. D (, ) ) B A D - - C - - Graph each ordered pair on a coordinate plane.. (,. (, ) ) 7. (, ). (, ) (, ) - (, ) (, - ) - (, -) Epress the relation as a table and a graph. Then state the domain and range. Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. 9. {(, ), (, ), (, ), (, )} domain: {-,,, } - range:{-, -, -, } TELEVISIN Alton pas $ per month for satellite television service. a. Make a table of ordered pairs in which the -coordinate represents the number of months and the -coordinate represents the total cost for,,, or months. b. Graph the ordered pairs. 9 9 Cost of Television ($) Months Course Chapter Functions

3 NAME DATE PERID Lesson Homework Practice Functions Find each function value.. f() if f() =. f() if f() = + 9. f() if f() = +. f() if f() = -. f(-) if f() = + 7. f(-) if f() = Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. 7. f ( if f() = + 9). f ( if f() = - ) 9. f ( if f() = - ) Choose four values for to make a function table for each function. Then state the domain and range of the function.. f() = -. f() = -. f() = + Sample answer: Sample answer: Sample answer: - f() - f() + f() - - (-) - (-) - () - () (-) - () - () - (). f() = - 7. f() = 9. f() = + Sample answer: Sample answer: Sample answer:. JACKETS The school baseball team wants to have each plaer s name imprinted on the plaer s jacket. The cost is $7 plus $. for each name. Write a function to represent the cost c(n) for n names. What is the cost to have names imprinted on jackets? c(n) = $7 + $.n; $7. 7. LEMNADE Gene sold glasses of lemonade while setting up his lemonade stand. After opening, he sold an average of glasses each hour. Write a function to represent the approimate number of glasses g(h) sold after h hours. About when did he sell the th glass of lemonade? g(h) = h + ;. hours after opening (-) + (-) + () + () Domain: {-, -,, } Domain: {-,,, } Domain: {-, -,, } Range: {-, -9,, } Range: {-, -,, } Range: {,,, } - 7 f() 9 f() + f() (-) - - (-) (-) - - (-) () 9 () () 7 () + Domain: {-, -,, } Domain: {-, -,, } Domain: {-, -,, } Range: {-, -9, -, } Range: {-, -, 9, 7} Range: {-,,, } Course Chapter Functions 7

4 NAME DATE PERID Lesson Skills Practice Linear Functions Complete the function table. Then graph the function.. = + + (, ) (-, ) (-, ) (, ) (, ) = +. = - - (, ) - (-)- () - () - () (-, -) (, -) (, ) (, ) = - Graph each function.. = -. = -. = - = - = -. REPAIRS An appliance repairman charges $ for a service call plus an additional $ per hour to repair appliances. a. Write a function to represent the situation. = + b. Make a function table to find the total cost for $ $,,, or hours of work on an appliance. $ $ $ $ c. Graph the function. Is the function continuous or discrete? Eplain. Sample answer: discrete; The points are separated. Total Cost of Repair Visit $ $ $ $ $ $ $ = - 7 Number of Hours Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. Course Chapter Functions

5 NAME DATE PERID Lesson Homework Practice Compare Properties of Functions. PRTRAITS Paolo s Portraits charges $ per photo with no sitting fee. The graph shows the fees for Clear Image Studio. Compare the functions b comparing their rates of change. Cost ($) Clear Image Studio Number of Portraits. CMMISSIN Joshua earns a salar plus a commission for ever painting he sells. The equation c = p + 7, where c is the commission in dollars and p is the number of paintings, represents how much he earns. Martin s commissions are shown in the table. Compare the functions b comparing their -intercepts and rates of change. Number of Paintings Sold Commission ($) The -intercept of Joshua s earnings equation is 7 and Martin s is. The rate of change for Joshua s equation is while Martin s is. Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. Paolo s Portraits is $ per photo and Clear Image Studio is $ per photo. Paolo s Portraits has the greater rate of change.. TLL RADS The table shows the cost for traveling on a toll road in Henderson. The graph shows the cost of traveling on a toll road in Clarkson. Compare the linear functions to determine which is a direct variation. Justif our response. Henderson Toll Road Costs Miles Cost ($) Traveled 9 The ratio of miles traveled to cost for the Henderson Toll Road is a constant ratio and the graph would pass through the origin. It is a direct variation. The graph for the Clarkson Toll Road costs does not travel through the origin, so it is not a direct variation. Cost ($) 7 Clarkson Toll Road Costs (,.) (,.) (,.7) Miles Traveled Course Chapter Functions

6 NAME DATE PERID Lesson Homework Practice Construct Functions Solve.. FUNDRAISING The Pep Club rented a shaved ice machine to sell shaved ice as a fundraiser. The paid an initial fee and then an hourl charge. The table shows the cost per hour. Find and interpret the rate of change and initial value. Assume the relationship between the two quantities is linear., ; The rate of change is $ per hour. The initial value is $. Number of Hours, Cost ($),. MVIES Marcus is a member of a theater club. He pas a monthl fee and his movie tickets are then $ for an unlimited number of movies that month. The graph shows the cost for each month. Find the monthl fee. $7. Cost ($) 7 9 (,.) (, 7.) (,.) Number of Months (, 7.) Copright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.. GARDENING Simone planted a tomato plant and measured its height weekl. The total height at,,, and weeks respectivel were,, 9, and inches tall. How tall was the tomato plant when Simone planted it? Assume the relationship is linear. 7 in.. PHTS The cost of having photos taken includes a sitting fee and $ for each portrait. The cost of,, and 9 photos respectivel is $, $7, and $. What is the sitting fee? $ Course Chapter Functions