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17 February, 11:29

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.

y = 2.5 when x = 9

1) k = 3.6; xy = 3.6

2) k = 22.5; y = 22.5x

3) k = 22.5; xy = 22.5

4) k = 3.6; y = 3.6

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  1. 17 February, 11:36
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    Answer: 3) k = 22.5; xy = 22.5

    Step-by-step explanation:

    If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

    Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes

    y = k/x

    If y = 2.5 when x = 9, then

    2.5 = k/9

    k = 9 * 2.5 = 22.5

    Therefore, an equation for the inverse variation is

    y = 22.5/x

    xy = 22.5
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