SOLUTION: if x varies inversely as y^2, and x=3 when y=24, find x when y=6

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Question 36918: if x varies inversely as y^2, and x=3 when y=24, find x when y=6
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
if x varies inversely as y^2,
THAT IS ......X=K/Y^2....WHERE K IS A CONSTANT TO BE FOUND OUT.
and x=3 when y=24,
SO .....3=K/24^2
K=3*24^2=3*24*24
HENCE.....X=3*24*24/Y^2
find x when y=6
X=3*24*24/6*6=48
X=48