Copyright © by Holt, Rinehart and Winston. 27 Holt Algebra 1All rights reserved.

Name Date Class

LESSON

11-4Practice ALinear, Quadratic, and Exponential Models

Graph each data set. Write linear, quadratic, or exponential.

1. { ! 0, !4 " , ! 1, !2 " , ! 2, 0 " , ! 3, 2 " , ! 4, 4 " } 2. { ! !2, !5 " , ! !1, !8 " , ! 0, !9 " , ! 1, !8 " , ! 2, !5 " }

linear quadratic

Look for a pattern in each data set. Write linear, quadratic, or exponential.

3. x y

0 3

1 6

2 12

3 24

4. x y

!2 !10

!1 !8

0 !6

1 !4

5. x y

0 2

1 6

2 12

3 20

exponential linear quadratic

6. The data in the table show the price of apples at a local store over several years.

Year 1 2 3 4

Cost ($) 0.45 0.90 1.35 1.80

a. Which model best describes the data for apples? linear

b. Write the function that models the data for apples. y ! 0.45x

c. Predict the cost of apples in year 8. $3.60

7. The data in the table show the price of a game over several years.

Year 0 1 2 3

Cost ($) 5.00 6.00 7.20 8.64

a. Which model best describes the data for the game? exponential

b. Write the function that models the data for the game. y ! 5 ! 1.2 " x

c. Predict the cost of the game in year 7. Round the cost tothe nearest cent. $17.92

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12.03 Assignment

12.03 Assignment - Compare Functions

Copyright © by Holt, Rinehart and Winston. 80 Holt Algebra 1All rights reserved.

Name Date Class

Practice BLinear, Quadratic, and Exponential Models

Graph each data set. Which kind of model best describes the data?

1. { ! !2, 0 " , ! !1, !3 " , ! 0, !4 " , ! 1, !3 " , ! 2, 0 " } 2. { ! 0, 3 " , ! 1, 6 " , ! 2, 12 " , ! 3, 24 " , ! 4, 48 " }

Look for a pattern in each data set to determine which kind of model best describes the data.

3. { ! !5, 9 " , ! !4, 0 " , ! !3, !7 " , ! !2, !12 " }

4. { ! !2, 9 " , ! !1, 13 " , ! 0, 17 " , ! 1, 21 " }

5. { ! 1, 4 " , ! 2, 6 " , ! 3, 9 " , ! 4, 13.5 " }

6. { ! 0, 4 " , ! 2, 12 " , ! 4, 36 " , ! 6, 76 " }

7. { ! 1, 17 " , ! 3, 8 1 __ 2 " , ! 5, 4 1 __

4 " , ! 7, 2 1 __

8 " }

8. Use the data in the table to describehow the restaurant’s sales are changing.Then write a function that models thedata. Use your function to predict theamount of sales after 8 years.

9. Use the data in the table to describe howthe clothing store’s sales are changing.Then write a function that models the data.Use your function to predict the amount ofsales after 10 years.

Restaurant

Year 0 1 2 3

Sales ($)

20,000 19,000 18,050 17,147.50

Clothing Store

Year 0 1 2 3

Sales ($)

15,000 15,750 16,500 17,250

LESSON

11-4

TEKS A.1.D

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y= 20,000(0.95) x

y= 15,000 + 750x