Find the average rate of change from x = 10 to x =17 for the function f(x) = 0.01(2) ^x and select the correct answer below
A. 10.24
B. 185.78
C. 1300.48
D. 1310.72
Is it C?
Its B
To find the average rate of change of a function over a specific interval, you need to evaluate the function at the two endpoints of the interval and then calculate the difference in the function values divided by the difference in the x-values.
In this case, the function is f(x) = 0.01(2)^x, and the interval is from x = 10 to x = 17.
To find the function values at these endpoints, substitute the x-values into the function:
f(10) = 0.01(2)^10
f(17) = 0.01(2)^17
Next, calculate the difference in the function values:
f(17) - f(10) = 0.01(2)^17 - 0.01(2)^10
Finally, divide the difference in the function values by the difference in the x-values, which is 17 - 10:
(f(17) - f(10)) / (17 - 10)
By calculating this expression, you will be able to find the average rate of change from x = 10 to x = 17 for the given function.