Question

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p

Answer 1

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

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

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

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

$25 = \frac{k}{3^2}$

$k = 25*9 = 225$

So

$p = \frac{225}{q^2}$

Determine p when q is equal to 5.

$p = \frac{225}{q^2} = \frac{225}{5^2} = 9$

p = 9 when q = 5.