Question

If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p

Answer 1

Answer:

$p\ =\ 92$

Step-by-step explanation:

Given

$p\ \alpha\ \frac{1}{q^2}$

$p =23; q=4$

Required

Find p, when $q = 2$

We have:

$p\ \alpha\ \frac{1}{q^2}$

Express as equation

$p\ =\ \frac{k}{q^2}$

Make k the subject

$k =pq^2$

When: $p =23; q=4$

$k =23 * 4^2$

$k =368$

When $q = 2$, we have:

$p\ =\ \frac{k}{q^2}$

$p\ =\ \frac{368}{2^2}$

$p\ =\ \frac{368}{4}$

$p\ =\ 92$