5. If m varies directly as n and inversely as the square of p, and m = 2 when when n=18 and p=2,find m when p=3 and n=25

Answer 1

"m varies directly as n and inversely as the square of p"
---> m = k(n/p^2)
m = 2 when when n=18 and p=2
---> 2 = k(18/4)
k = 8/18 = 4/9

m = (4/9)(n/p^2)

when p=3 and n=25
m = (4/9)(25/9) = 100/81