Direct and Inverse Variation

Question 1

When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.

Revolt · Accepted Answer

✔ m = 12f; m = 12f; inches: 42; feet: 2.25

Question 2

3.41235✔ 42

Revolt · Accepted Answer

✔ 42

Question 3

0.44✔ 2.25 3.512

Revolt · Accepted Answer

✔ 2.25

Question 4

A quantity, t, varies inversely with a quantity, r. If t = 6, then r = 5.

Revolt · Accepted Answer

30; 2

Question 5

Question 92508

Revolt · Accepted Answer

30

Question 6

The distance traveled varies directly with the time spent in motion when speed is held constant.

Revolt · Accepted Answer

d = kt; 37.5; about hours: 5.3

Question 7

✔ 37.540150600

Revolt · Accepted Answer

✔ 37.5

Question 8

Which statements are true about the table of values? Check all that apply.

Revolt · Accepted Answer

xy = 3; When x = 3, y = 1.; The graph of this table would not be linear.

Question 9

The value of z varies inversely with the value of w. The constant of variation is . Which are possible values for z and w? Check all that apply. z = , w = z = 2, w = 3z = , w = 2z = , w = z = , w =

Revolt · Accepted Answer

z = , w =

Question 10

Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship. Which statement supports his claim?

Revolt · Accepted Answer

xy = 1 for all points.

Direct and Inverse Variation Answers

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