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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

Sagot :

sqdancefan

9514 1404 393

Answer:

  9.  c. 1

  10.  c. y = 15/x

Step-by-step 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

___

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

  x = k/y = 7/7

  x = 1

__

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

  y = 15/x

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