W varies directly as x^3 and inversely as y^2

Question

If W=24 when x=2 and y=2, find w if x=3 and y=2

Answer 1

w(x,y) = kx³/y²,

 

where k is a constant.

 

24 = k(2³)/(2²) = 2k

 

k = 12

 

w(x,y) = 12x³/y²

 

w(3,2) = 12(3³)/(2²) = 81