Can someone explain to me how this works? If m varies inversely as p², and m=20 when p=2, find m when p=5. The answer is 16/5, but how do we get there?
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m varies inversely to p^2
==> m = k/p^2 for some k
if m = 20 when p = 2
then 20 = k/4
==> k = 80
so, m = 80/p^2
when p = 5
m = 80/25 = 16/5
==> m = k/p^2 for some k
if m = 20 when p = 2
then 20 = k/4
==> k = 80
so, m = 80/p^2
when p = 5
m = 80/25 = 16/5
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m = k/p^2
k = 20 * 4 = 80
m = 80/25 = 16/5
k = 20 * 4 = 80
m = 80/25 = 16/5
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I agree with the above answers