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28 May, 05:32

Suppose y varies jointly as x and z. Find y when x = - 13 and z = 7, if y = 205 when x = - 5 and z = - 8. Round your answer to the nearest hundredth, if necessary.

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  1. 28 May, 05:45
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    Answer: y = - 466.375

    Step-by-step explanation:

    y varies jointly as x and z.

    This means that y varies directly as x and also varies directly as z.

    In order to remove the proportionality symbol, we will introduce a constant of proportionality, k. Therefore,

    y = kxz

    The next step is to determine the value of k

    if y = 205 when x = - 5 and z = - 8.

    we will substitute these values into the equation to determine k.

    205 = k * - 5 * - 8

    205 = 40k

    k = 205/40 = 5.125

    Therefore, the equation becomes

    y = 5.125xz

    We want to determine y when x = - 13 and z = 7

    y = 5.125 * - 13 * 7

    y = 5.125 * - 91

    y = - 466.375
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