H varies directly as p and inversely as the square of y. If H =
MATHEMATICS
WAEC 2019
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 = \(\frac{p}{4y^2}\)
- B. H = \(\frac{2p}{y^2}\)
- C. H = \(\frac{p}{2y^2}\)
- D. H = \(\frac{p}{y^2}\)
Correct Answer: C. H = \(\frac{p}{2y^2}\)
Explanation
H \(\propto\) \(\frac{p}{y^2}\)
H = \(\frac{pk}{y^2}\)
1 = \(\frac{8k}{2^2}\)
k = \(\frac{4}{8}\)
= \(\frac{1}{2}\)
H = \(\frac{p}{2y^2}\)
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