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
\(\frac{3n^2}{2p^2}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
M = \(\frac{nk}{p^2}\)
k → \(\frac{mp^2}{n}\) = \(\frac{3x1^2}{2}\)
k = \(\frac{3}{2}\)
: m = \(\frac{3xn}{2p^2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #64504)