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30 June, 20:45

Suppose that y varies inversely with x. Write an equation for the inverse variation.

y = 4 when x = 7

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  1. 30 June, 20:53
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    If y varies inversely as x, then we write it as:

    y = k/x

    where k is some constant.

    If we multiply both sides of this equation by x we get an equation for k:

    k = x*y

    We are given that y=4 when x=7, therefore:

    k = 7*4 = 28

    Put this back into our original equation to get:

    y = 28/x
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