WAEC Mathematics 2019 Objective — Question 12

Question 12 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

12. 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.

A. H = p/4y²
B. H = 2p/y²
C. H = p/2y²Correct
D. H = p/y²

Explanation

H ∝ p and H ∝ 1/y², so H = kp/y². With H=1,p=8,y=2: k = Hy²/p = (1×4)/8 = 1/2. So H = (1/2)p/y² = p/2y².

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