NAME DATE PERIOD Lesson 5 Homework Practice - Central Bucks School District

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 5 Homework Practice

Compare Properties of Functions

1. PORTRAITS Paolo's Portraits charges $15 per photo with no sitting fee. The graph shows the fees for Clear Image Studio. Compare the functions by comparing their rates of change.

Clear Image Studio

Cost ($)

48 44 40 36 32 28 24 20 16 12

8 4

0

12345

Number of Portraits

2. COMMISSION Joshua earns a salary plus a commission for every painting he sells. The equation c = 40p + 75, 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 by comparing their y-intercepts and rates of change.

Number of Paintings Sold

Commission ($)

1

2

3

115 150 185

The y-intercept of Joshua's earnings equation is 75 and Martin's is 80. The rate of change for Joshua's equation is 40 while Martin's is 35.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Paolo's Portraits is $15 per photo and Clear Image Studio is $12 per photo. Paolo's Portraits has the greater rate of change.

3. TOLL ROADS 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. Justify your response.

Henderson Toll Road Costs

Clarkson Toll Road Costs

Miles Traveled

10 20 30

Cost ($)

3 6 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 ($)

8

7

6

(15, 5.75)

5

4

(10, 4.50)

3

(5, 3.25)

2

1

0 5 10 15 20 25 30 Miles Traveled

Course 3 ? Chapter 4 Functions

63

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download