Mathematics

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

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

  • A.
    (pm)16
  • B.
    (pm)8
  • C.
    (pm)4
  • D.
    (pm)2
Correct Answer: Option D
Explanation

p ∝ 1/q
p = k/q
K = q(^2)p
= 4(^2)(8)
∴p = 128/q
32 = 128/q
q(^2) = 128/32
q(^2) = 4
q = √4 = (pm) 2