M varies directly as n and inversely as the square of p. If M =
MATHEMATICS
WAEC 1996
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. M = 2n/3p
- B. M = 3n2/2p2
- C. M = n2/2p
- D. M = 3n/2p2
Correct Answer: D. M = 3n/2p2
Explanation
\(M \propto \frac{n}{p^2}\)
\(M = \frac{kn}{p^2}\)
\(3 = \frac{k(2)}{1^2}\)
\(3 = 2k \implies k = \frac{3}{2}\)
\(M = \frac{3n}{2p^2}\)
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