If p = varies inversely as the square of q and p=8 when q=4, find when p=32

If p = varies inversely as the square of q and p=8 when q=4, find when p=32

Answer Details

P ∝ 1/q
P = k/q
K = q2P
= 428
∴P = 128/q
32 = 128/q
q2 = 128/32
q2 = 4
q = √4 = +/-2