SOLUTION: Z varies directly as the square of x and inversely as the square root of y. Find the percentage change in z if x increases by 20% and y decreases by 19%.
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Question 1047394: Z varies directly as the square of x and inversely as the square root of y. Find the percentage change in z if x increases by 20% and y decreases by 19%. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=kx^2*y^(-1/2)
z new=k(1.2x)^2*(0.81y)^(-1/2)
The ratio has the k cancel, and it is 1.44/(1/0.9), for 1.2^2=1.44 and 1/sqrt(0.81)=1/0.9.
That is 1.44*0.9=1.296
29.6% increase.
