SOLUTION: If y varies inversely as x squared and y=2 when x=4 what is the constant of variation? I'm not sure what to do?

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Question 85974This question is from textbook
: If y varies inversely as x squared and y=2 when x=4 what is the constant of variation?
I'm not sure what to do? This question is from textbook

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
y=x^2k
2=4^2k
2=16k
2/16=16/16k
1/8=k
.
checking:
2=16k
2=4^2(1/8
2=16/8
2=2 [checks out]