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14 November, 07:24

suppose that y varies directly as x. if y is 24 when x is 6, find the constant of variation and the direct variation equation

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  1. 14 November, 09:36
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    Step-by-step explanation:

    Direct variation can be modeled by y = kx where k is the constant of variation!

    So to solve for k all we need to do is substitute in the value for y and x that are given.

    So according to the problem y = 24 when x = 6

    24 = 6k

    Divide both sides by 6

    k = 4

    So the constant of variation is 4

    The direct variation equation would then be

    y = 4x
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