For f(x) = 0.01(2)x, find the average rate of change from x = 12 to x = 15.
Asked by maham237 @ in Biology viewed by 341 People
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
Answered by maham237 @
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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