Question

Assume that y varies inversely as x.
If y = -16 when x = 4, find x when y = 32.

Answer 1

Inverse variation is y = k/x

When y = -16 and x = 4 we need to find the constant

-16 = k/4

We find that k = -64

If we are asked to find x when y = 32 we can do that bc we have our constant

32 = -64/x
32x = -64

x = -2