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14 June, 05:25

The variable z varies jointly as the second power of x and the third power of y. When x equals 2 and y equals 2.4 , z equals 31.5. Approximate the constant of variation to the nearest hundredth.

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  1. 14 June, 05:38
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    The constant of variation, k = 0.57

    Step-by-step explanation:

    We are given that z varies jointly as the second power of x (x²), and the third power of y (y³).

    For a constant of variation, k, z can be written as

    z = x²y³k.

    We are also given

    z = 31.5

    x = 2

    x = 2.4

    31.5 = (2²) (2.4) ³k

    31.5 = 4*13.824k

    31.5 = 55.296k

    k = 31.5/55.296

    = 0.57
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