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JAMB Mathematics 1984 Question 15

Question 15

Variation

P varies directly as the square of q and inversely as r. If p = 36 when q = 3 and r = 4, find p when q = 5 and r = 2

  1. A.72
  2. B.100
  3. C.90
  4. D.200
  5. E.125.
Show the answer and explanation

Answer: D (200)

Explanation

p = kq²/r. 36 = 9k/4 gives k = 16. Then p = 16 × 25/2 = 200.