Question

Suppose y is inversely proportional to x. If y = –8 when x = –2, find y when x = 32

Answer 1

Answer: 1/2

Explanation:

When y is inversely proportional to x. This implies that:

y = k/x

If y = –8 when x = –2, then the constant of proportionality will be;

y = k/x

-8 = k/-2

k = (-8 × -2)

k = 16

when x = 32, the value of y will be:

y = k/x

y = 16/32

y = 1/2