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16 July, 18:08

Marina earns $15 for 1 hour of babysitting $23 for 2 hours of babysitting and $31 for 3 hours of babysitting. Write a function to describe the sequence.

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  1. 16 July, 19:19
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    Step-by-step explanation:

    Let y represent the amount that Marina earns for babysitting.

    Let x represent the number of hours of babysitting.

    If we plot the graph of y on the vertical axis and x on the horizontal axis of a graph,

    the slope which is expressed as

    Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

    change in the value of y = y2 - y1

    Change in value of x = x2 - x1

    Slope = (23 - 15) / (2 - 1) = 8

    We would model the function in the slope intercept form which is expressed as

    y = mx + c

    Where c represents the intercept.

    To determine c, we would substitute y = 15, x = 1 and m = 8 into y = mx + c. It becomes

    15 = 8 * 1 + c

    15 = 8 + c

    c = 15 - 8 = 7

    The function that describes the sequence would be

    y = 8x + 7
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