Question

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

when q is equal to 5.

Answer 1

p = 9 when q = 5.

Explanation:

p is inversely proportional to the square of q

This means that:

`p = (k)/(q^2)`

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

`p = (k)/(q^2)`

`25 = (k)/(3^2)`

`k = 25*9 = 225`

So

`p = (225)/(q^2)`

Determine p when q is equal to 5.

`p = (225)/(q^2) = (225)/(5^2) = 9`

p = 9 when q = 5.