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16 November, 19:26

Suppose y varies directly with x and inversely with z. When x = 65 and z=5 , then y = 26. Find the constant of variation and the equation of combined variation.

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  1. 16 November, 22:46
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    Answer:y = 65x/z

    Step-by-step explanation:

    Suppose y varies directly with x and inversely with z. It means that as y increases or decreases, y increases or decreases while z decreases or increases respectively.

    In order to remove the variation symbol and replace with an equation symbol, we would introduce a constant of variation, k. It becomes

    y = kx/z

    When x = 65 and z=5 , then y = 26. We would substitute these value to get the constant of variation, k. It becomes

    26 = 65k/5

    65k = 65

    k = 1

    The equation of combined variation will be

    y = 65x/z
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