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JAMB Mathematics 1987 Question 19

Question 19

Variation

If P varies inversely as V and V varies directly as R2, find the relationship between P and R given that R = 7 when P = 2

  1. A.P = 98R2
  2. B.PR2 = 98
  3. C.P = 1/(98R2)
  4. D.P = R2/98
Show the answer and explanation

Answer: B (PR2 = 98)

Explanation

P = k/V and V = cR², so P = K/R². With R = 7 and P = 2, K = 2 × 49 = 98, giving PR² = 98.