SOLUTION: Suppose z caries directly with x and inversely with the square of y. When x=5 and y=9, x=900. Find the equation of variation.

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Question 375367: Suppose z caries directly with x and inversely with the square of y. When x=5 and y=9, x=900. Find the equation of variation.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

z varies directly with x and inversely with the square of y

Let k represent the constant of proportionality

If I am understanding your question properly

z+=+k%28x%2Fy%5E2%29

When x=5 and y=9, z=900  

900 = k(5/81)

(81/5)900 = k

14580 = k

equation of variation

z+=+14580%28x%2Fy%5E2%29