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WAEC Mathematics 2023 Question 10

Question 10

Variation

M varies jointly as the square of n and the square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5 and q = 9.

  1. A.288
  2. B.400
  3. C.300
  4. D.225
Show the answer and explanation

Answer: D (225)

Explanation

M = kn²√q: 24 = k × 4 × 2 gives k = 3. Then M = 3 × 25 × 3 = 225.