Suppose r varies directly as the square of m, and inversely as s. If r=16 when m=6 and s=4, find r when m=24 and s=4

Question

Suppose r varies directly as the square of m, and inversely as s. If r=16 when m=6 and s=4, find r when m=24 and s=4

Answer 1

R = k m^2/s

16 = k (6)^2/4

16 = (36/4)k

16 = 9k

16/9 = k

R = 9m^2/(16s)

R = 9*24^2 / (16*4) = (9*24*24)/"(64) = 9*3*3 = 81