Question

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9. Suppose y varies inversely with x, and y = 49 when x = 1/7. What is the value of x when y = 7?

a. 14

b. 2

c. 1

d. 7


10. Suppose y varies inversely with x, and y = 5 when x = 3. What is the inverse variation equation that relates x and y?

a. y = 3/x

b. y = 5/x

c. y = 15/x

d. y = 15x

Answer 1

9514 1404 393

Answer:

9. c. 1

10. c. y = 15/x

Explanation:

The equation for inverse variation can be written as ...

y = k/x

The value of k can be determined from given values of x and y. Multiply by x to get ...

k = xy

Solving for x, you get ...

x = k/y

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9. k = (1/7)(49) = 7

x = k/y = 7/7

x = 1

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10. k = (3)(5) = 15

y = 15/x