WAEC Mathematics 2019 Question 12

Question 12

Variation

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

  1. A.H = p/(4y2)
  2. B.H = 2p/y2
  3. C.H = p/(2y2)
  4. D.H = p/y2
Show the answer and explanation

Answer: C (H = p/(2y2))

Explanation

H = kp/y2. Then 1 = 8k/4, so k = 1/2 and H = p/(2y2).