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22 February, 12:39

Between x = 2 and x = 3, which function has a greater average rate of change than y = 13-x?

A) y = 2xB) y = 5x-2C) y = 14-xD) y = 23-x

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  1. 22 February, 12:50
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    For this case we have the following function:

    y = 13-x

    The function is linear, therefore, the average change rate is given by the slope of the line.

    In this case the slope is:

    m = - 1

    The linear function with the highest rate of change (greater slope in this case) is given by:

    y = 5x-2

    In this case the slope is:

    m = 5

    Answer:

    A function that has a greater average rate of change than y = 13-x is:

    B) y = 5x-2
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