Question

If x varies inversely with y and x = 4 when y = 8, find x when y = 16.

Answer 1

xy=32

16x=32

x=2

Answer 2

x=2

Explanation:

The formula for inverse variation is

xy = k

We know x = 4 and y = 8

4*8= k

32 = k

xy = 32

We want to find x when y = 16

x*16 = 32

Divide each side by 16

16x/16 = 32/16

x =2