SOLUTION: If y varies inversely as X^2 and y= -8 when x=2, find y if x=3.

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Question 57200: If y varies inversely as X^2 and y= -8 when x=2, find y if x=3.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
If y varies inversely as X^2 and y= -8 when x=2, find y if x=3.
First we need to find the constant of variation.
y varies inversely as x%5E2 is:
y=k%2Fx%5E2
We can find the constant of variation by putting -8 in for y and 2 in for x and solve for k.
%28-8%29=k%2F%282%29%5E2
-8=k%2F4
%284%29%28-8%29=4k%2F4
-32=k
Our equation of variation is:
y=-32%2Fx%5E2
Now we can find y when x=3:
y=-32%2F%283%29%5E2
y=-32%2F9
Happy Calculating!!!