SOLUTION: Suppose z varies directly with x and inversely with the square of y . If z=9 when x=3 and y=3, what is z when x=11 and y=6? z=

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Question 1162790: Suppose z varies directly with x and inversely with the square of y
. If z=9 when x=3 and y=3, what is z when x=11 and y=6?
z=
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If z varies directly with x and inversely with the square of y,
Z=k%2Ax%2A%281%2Fy%5E2%29 for all (x,y,z) points in the relationship,
for some constant k%3E0 .

We just have to find k .

If z=9 when x=3 and y=3, we know that 9=k%2A3%2A%281%2F3%5E2%29
9=k%2A3%2A%281%2F3%5E2%29
9=k%2A3%2F3%5E2
9%2A3=k
k=27

What is z when x=11 and y=6?
z=k%2Ax%2A%281%2Fy%5E2%29
z=27%2A11%2A%281%2F6%5E2%29
z=27%2A11%2A%281%2F36%29
z=27%2A11%2F36
highlight%28z=33%2F4=8.25%29