Question

Suppose that r varies directly as p and inversely as q2, and that r = 27 when p = 3 and q = 2. Find r when p = 2 and q = 3.

Answer 1

\[\large r = \frac{kp}{q}\]

r = 27 when p = 3 and q = 2 so we can solve for 'k' (our constant of variation)

\[\large 27 = \frac{3k}{2}\]

solve for 'k' there

Answer 2

thank you

Answer 3

That isn't everything...

Once you solve for 'k' there you will have the same equation

\[\large r = \frac{kp}{q}\]

And you will input p = 2, q = 3 and the 'k' you fund...and solve for 'r'

Answer 4

i cant seem to find k