Question

How do you write the equation if F varies inversely as the cube root of S and S = 64 when F = 4?

Answer 1

`F=16/(S^(1/3))`

Explanation:

We just write the equation with constant of proportion `k`

`F=k/(S^(1/3))`

And evaluate it in `F=4` and `S=64=2^6`, and solve the equation for k.

`4 = k/(2^(6/3)) => k=16`