Assume that y varies inversely with x. If y=6.4when x=4.4, find y when x=3.2

Because y varies inversely with x, let

y = k/x

where k = constant.

When x=4.4, y=6.4. Therefore

k/4.4 = 6.4

k = 6.4*4.4 = 28.16

The required relation is

y = 28.16/x

When x = 3.2, obtain

y = 28.16/3.2 = 8.8

Answer: 8.8