Answer
In the equation, $S=\frac{8A}{P}$, the variable S varies directly as A and inversely as P.
Work Step by Step
Consider, $S\ =\ \frac{8A}{P}$.
We can see that as A increases, S also increases or as A decreases, S also decreases.
Also, it can be seen that when P increases, S decreases or when P decreases, S increases.
The number 8 is the constant of proportionality.
Therefore, in the equation $S\ =\ \frac{8A}{P}$ , S varies directly as A and inversely as P.