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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
As z varies jointly as x and y%5E2 so we can write
z+=+k%2Ax%2Ay%5E2_________(1)
where k = constant of variation

Put x = 4, y = 3 and z = 6 in equation (1).
Thus we have 6+=+k%2A4%2A3%5E2+=+36%2Ak
or k=6%2F36+=+1%2F6

Hence the equation of variation is z=%28xy%5E2%29%2F6

Answer by venugopalramana(3286) About Me  (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