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WAEC Mathematics 2003 Question 39

Question 39

Variation

Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?

  1. A.p varies as the square of r
  2. B.p varies as the square root of r
  3. C.p varies inversely as the square of r
  4. D.p varies inversely as r
Show the answer and explanation

Answer: D (p varies inversely as r)

Explanation

p = kq2 and q = c/√r, so p = kc2/r: p varies inversely as r.