Algebra 2 inverse square roots

[jneal]

If P varies inversely as the square root of q and p=12 when q= 36. Find p when q=16

Thanking you in advance for your help

 

[galactus]

\(\displaystyle P=\frac{k}{\sqrt{q}}\)

Sub in the given p=12 and q=36, then solve for k.

Then, after k is found, it is just a matter of subbing the q=16 into the formula.


Some general thoughts:

y varies directly or y is directly proportional to is y=kx

y varies inversely or y is inversely proportional to is y=k/x