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13 January, 09:04

If drama babysits for 2 hours she earn $14 if she baby sit 4 hours she earns $28 write the equation that describes the relationship between the amount of money that drama earns b and the number of hours that she babysits a

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  1. 13 January, 10:21
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    Answer: b = 7a

    Step-by-step explanation:

    Let b represent the amount of money that she earns in babysitting.

    Let a represent the number of hours that she babysits.

    Assuming b is plotted on the y axis and a is plotted on the horizontal axis of a graph, the equation of the line can be modelled in the slope intercept form. It is expressed as

    y = mx + c

    c = intercept

    m = slope = (y2 - y1) / (x2 - x1)

    m = (28 - 14) / (4 - 2) = 14/2 = 7

    To determine the intercept, c, we would substitute m = 7, y = 28 and

    x = 4 into equation y = mx + c. It becomes

    28 = 7 * 4 + c

    c = 28 - 28 = 0

    The equation that describes the relationship would be

    b = 7a
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