Question

The quantity p varies inversely as the square of (q + 2). p = 5 when q = 3. Find p when q = 8.

Answer 1

hint: when y varies inversely as x, it means
\[y = \frac{m}{x}\]

Answer 2

where m is a constant

Answer 3

so you have to use
\[p = \frac{m}{(q+2)^{2}}\]
and use the given information to find m

Answer 4

humm, interesting, that explains well.

Answer 5

and then use m to find
\[p = \frac{m}{(8+2)^2}\]

Answer 6

Thanks! :)