Question

Find the average rate of change from x = 7 to x = 14 for the function f(x) = 0.01(2)^x and select the correct answer below.

Answer 1

Answer: 23.22

Step-by-step explanation:

Given function: $f(x)=0.01(2)^x$

At x=7

$f(7)=0.01(2)^7=1.28$

At x=14

$f(14)=0.01(2)^{14}=163.84$

We know that the rate of change from $x_1$ to  $x_2$ of function is given by

$=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

Therefore, The rate of change of given function from x=7 to x=14

$=\frac{f(14)-f(7)}{14-7}\\\\=\frac{163.84-1.28}{14-7}\\\\=\frac{162.56}{7}\\\\=23.22$

Therefore, the average rate of change from x = 7 to x = 14 for the given function is 23.22