SOLUTION: A variable z varies jointly with x and the square of y. If z = 6 when x = 4 and y = 3, write the equation of joint variation.

Question 41626: A variable z varies jointly with x and the square of y. If z = 6 when x = 4 and y = 3, write the equation of joint variation.
Found 2 solutions by psbhowmick, venugopalramana:
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
As z varies jointly as x and so we can write
_________(1)
where k = constant of variation

Put x = 4, y = 3 and z = 6 in equation (1).
Thus we have
or

Hence the equation of variation is
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
A variable z varies jointly with x and the square of y. If z = 6 when x = 4 and y = 3, write the equation of joint variation.
Z=K*X*Y^2
Z=6...X=4...Y=3..HENCE
6=K*4*3^2=36K
K=6/36=1/6
HENCE
Z=(X*Y^2)/6
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