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18 August, 22:39

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What is the approximate average rate of change of the function p (x) = (6x-4) / x on the interval [1,3]?

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  1. 18 August, 22:55
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    4/3

    Step-by-step explanation:

    Given function = p (x) = (6x-4) / x

    First we will calculate p (1) and p (3)

    p (1) = (6 (1) - 4) / 1 = 6-4 = 2

    p (3) = (6 (3) - 4) / 3 = (18-4) / 3 = 14/3

    Rate of change on interval [1,3] = [p (3) - p (1) ] / (3-1)

    => (14/3 - 2) / (2)

    => (14-6) / (3*2)

    => 8/6

    => 4/3

    So average rate of change is 4/3
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