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13 June, 06:08

For f (x) = 0.01 (2) x, what is the average rate of change from x = 12 to x = 15?

A. 3

B. 40.96

C. 95.57

D. 286.72

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Answers (1)
  1. 13 June, 06:18
    0
    The average rate of change is the slope of or the first derivative of the expression or you can use the expression following:

    Average rate of change = (f (b) - f (a)) / (b - a)

    For this case,

    b = 15 and a = 12

    Average rate of change = 0.01 (2) ^15 - 0.01 (2) ^12 / 15 - 12

    Average rate of change = 95.57

    Therefore, the correct answer is option C.
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