Question

If y varies inversely as x and y = 8 when x = 9, find x when y = 12.

Answer 1

x = 6

Explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6