Question

If p is inversely proportional to the square of q, and p is 6 when q is 8, determine p
8
when q is equal to 2.

Answer 1

Answer:

$p=96$

Step-by-step explanation:

Because p is inversely proportional to the square of q, we have that $p(q^2)=k$ for some constant k. We know that $p=6$ when $q=8$, so we have that $k=(6)(8)^2=6*64=384$.

We want to know what p is when q is equal to 2, so we have that $p(2)^2=384$, which gives $4p=384$, which gives $\boxed{p=96}$.

Note: $\frac{96}{6}=(\frac{8}{2})^2$. Coincidence?