For this case we have the following function:
[tex]f (x) = 0.01 * (2) ^ x
[/tex]
By definition, the average rate of change is given by:
[tex]AVR = \frac{f(x2) - f(x1)}{x2 - x1} [/tex]
We evaluate the function for the given values:
For x = 7:
[tex]f (7) = 0.01 * (2) ^ 7
f (7) = 1.28[/tex]
For x = 14:
[tex]f (14) = 0.01 * (2) ^ {14} f (14) = 163.84[/tex]
Then, replacing values we have:
[tex]AVR = \frac{163.84 - 1.28}{14 - 7} [/tex]
[tex]AVR = 23.22[/tex]
Answer:
the average rate of change from x = 7 to x = 14 is:
a. 23.22
