# algebra

suppose that S varies directly as the 2/5 power of T, and that S=8 when T=32. Find S when T=243.

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1. S = k(T)^(2/5)

when S = 8 , T = 32
8 = k (32)^(2/5)
8 = k(4)
k = 2

when T = 243
S = 2(243)^(2/5)
= 2(3^2) = 18

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posted by Reiny

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