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27 April, 05:28

The value y varies directly with x. which function represents the relationship between x and y if y=20/3 when x=30?

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  1. 27 April, 07:26
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    If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:

    y = mx + b

    y = mx

    where m is the slope of the line, now we plug in the data we have:

    y = mx

    20/3 = m (30)

    solving for m:

    m = (20/3) (1/30)

    m = 20/90

    m = 2/9

    so the line equation, or function modeling the y and x relationship is:

    y = (2/9) x
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