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Lesson 4 Homework PracticeDirect Variation

Determine if the relationship between the two quantities is a direct variation.

1. y

x

260325

130195

65

0

390455520585650

Number of Hours

Num

ber o

f Mile

s

21 8 943 6 75 10

2. y

x

810

46

2

0

1214161820

Glasses of Iced Tea Sold

Reve

nue

($)

20 8040 60 100

Determine whether the linear relationship is a direct variation. If so, state the constant of variation.

3. x 3 6 9 12

y 120 90 60 30

4. x 2 4 6 8

y -5 -10 -15 -20

5. The cost of paper varies directly with the number of reams bought. Suppose 2 reams cost $5.10.

a. Write an equation that could be used to find the cost of x reams of paper.

b. Find the cost of 15 reams of paper.

6. Recall that the length a spring stretches varies directly with the amount of weight attached to it. A certain spring stretches 5 cm when a 10-gram weight is attached.

a. Write a direct variation equation relating the weight x and the amount of stretch y.

b. Estimate the stretch of the spring when it has a 42-gram weight attached.

Math Accelerated • Chapter 9 Linear Functions

Program: Pre-Algebra

Vendor: Aptara

Component: ANC_C09_L4

Grade: AMPDF Pages

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