SOLUTION: If y varies inversely as x^2, and y=2 when x=4, what is the constant of variation? Thank you for the help :-)

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Question 459321: If y varies inversely as x^2, and y=2 when x=4, what is the constant of variation?
Thank you for the help :-)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If y varies inversely as x^2, and y=2 when x=4, what is the constant of variation?
:
Let k = constant of variation
:
k%2Fx%5E2 = y
:
Replace x & y:
k%2F4%5E2 = 2
k%2F16 = 2
multiply both sides by 16
k = 16(2)
k = 32 is the constant of variation
and
y = 32%2Fx%5E2 is the equation