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JAMB Mathematics 2006 Question 41

Question 41

Variation

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

  1. A.p varies directly as r3
  2. B.p varies inversely as r6
  3. C.p varies inversely as ∛r
  4. D.p varies directly as r6
Show the answer and explanation

Answer: B (p varies inversely as r6)

Explanation

p = k/q3 and q = mr2, so p = k/(m3r6): p varies inversely as r6.