SOLUTION: Find an equation of variation where y varies jointly as x and the square of z, and where y=70 when x=55 and z=2

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Question 509607: Find an equation of variation where y varies jointly as x and the square of z, and where y=70 when x=55 and z=2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
y+=+k%2Ax%2Az%5E2 where k = the constant of variation. To find the value of k, plug in the given parameters of y+=+70, x+=+55, and z+=+2
70+=+k%2855%29%282%5E2%29 Solve for k.
k+=+70%2F220 Simplify.
k+=+7%2F22 Now the equation can be written as:
y+=+%287%2F22%29xz%5E2