NECO Mathematics 2022 Objective — Question 9
Question 9 of 50 from the National Examinations Council (NECO) Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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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 = 3n/(2p^2)Correct
- B. M = 2n/(3p^2)
- C. M = 2n/(3p)
- D. M = 3n^2/(2p)
Explanation
M = kn/p^2. Substituting M=3, n=2, p=1: 3 = k(2)/1, so k=3/2. Thus M = (3/2)n/p^2 = 3n/2p^2.
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