SOLUTION: y varies directly as x and inversely as the square of z. Y=24 when X=12 and z=2. Find y when x=64 and z=4 y= Only question on my homework i can't figure out! Thank you!

Question 862868: y varies directly as x and inversely as the square of z.
Y=24 when X=12 and z=2. Find y when x=64 and z=4
y=
Only question on my homework i can't figure out! Thank you!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
y varies directly as x and inversely as the square of z.
--> y = k*x/z^2
---
Y=24 when X=12 and z=2. Find y when x=64 and z=4
Find k
24 = k*12/4
k = 8
----
y = k*x/z^2
y = 8*64/16
y = 32
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It's not necessary to solve for k, but it simplifies it.
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