SOLUTION: If m is inversely proportional to the square of n and m is 4/25 when n is 5, find m when n is 8.

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Question 514914: If m is inversely proportional to the square of n and m is 4/25 when n is 5, find m when n is 8.
Answer by plover(15) About Me  (Show Source):
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m is inversely proportional to the square of n
that is ,
m is proportional to 1%2F%28n%5E2%29
m=k%2A1%2F%28n%5E2%29 where k is the constant of proportionality
if m is 4/25 and n is 5
4%2F25=k%2F%285%5E2%29
4%2F25=k%2F25
Hence the constant of proportionality k is 4%2F25%2A25=4
given n is 8
then
m=4%2F%288%5E2%29 since k =4 n=8
m=4%2F64
m=1%2F16