If p is inversely proportional to the square of q, and p is 2 when q is 4, determine p when q is equ

If p is inversely proportional to the square of q, and p is 2 when q is 4, determine p when q is equal to 2.

We set up the variation equation with a constant k such that:
p = k/q^2 (inversely proportional means we divide)

When q is 4 and p is 2, we have:
2 = k/4^2
2 = k/16

Cross multiply:
k = 2 * 16
k = 32

Now, the problem asks for p when q = 2:
p = 32/2^2
p = 32/4
p = 8