suppose r varies directly as the square of m and inversely as s. if r=10 when m=15 and s=9, find r when m=75 amd s=9

Question

suppose r varies directly as the square of m and inversely as s. if r=10 when m=15 and s=9, find r when m=75 amd s=9

Answer 1

R = k*m^2 / s

10 = k*15^2/9

= 225k/9

= 25k

k = 10/25 = 2/5

R = 2*m^2/ (5*s)

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R = 2*75^2/(5*9)

= 2*5625/45

= 250