M varies directly as n and inversely as the square of p. If M= 3
MATHEMATICS
WAEC 2022
M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.
- A. \(\frac{3n}{2p^2}\)
- B. \(\frac{2n}{3p^2}\)
- C. \(\frac{2n}{3p}\)
- D. \(\frac{3n^2}{2p^2}\)
Correct Answer: A. \(\frac{3n}{2p^2}\)
Explanation
M = \(\frac{nk}{p^2}\)
k → \(\frac{mp^2}{n}\) = \(\frac{3x1^2}{2}\)
k = \(\frac{3}{2}\)
: m = \(\frac{3xn}{2p^2}\)
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