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Suppose T varies directly as the 3/2 power of x. When x=16, T=160. Find T when x=4

  • math - ,

    T = kx^3/2
    160 = k*16^3/2 = k*4^3 = 64k
    k = 5/2

    T = 5/2 x^3/2
    T(4) = 5/2 * 4^3/2 = 5/2 * 2^3 = 20

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