Question

Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below.

Answer 1

x=3:

0.01*2^3 = 0.08

x=15:

0.01*2^15 = 327.68

327.68 - 0.08 = 327.60

15-3 = 12

327.6/12 = 27.3

Answer is C

Answer 2

Answer: C. 27.3

Step-by-step explanation:

The average rate of function f(x)  from x = a to x = b is given by :-

$k=\dfrac{f(b)-f(a)}{b-a}$

The given function : $f(x) = 0.01(2)^x$

Now, the average rate of function f(x)  from x = 3 to x = 15 is given by :-

$k=\dfrac{f(15)-f(3)}{15-3}\\\\\Rightarrow\ k=\dfrac{0.01(2)^{15}-0.01(2)^3}{12}\\\\\Rightarrow\ k=27.3$

Hence, the  average rate of change from x = 3 to x = 15 for the given function = 27.3 .