Answer:
$23.22 per day.
Step-by-step explanation:
For a general function f(x), the average rate of change between A and B (when B > A) is:
[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]
In this case we know that the function is:
f(x) = 0.01*(2)^x
And we want to find the average rate of change from day 7 to day 14
Then if we use the above equation we get that the rate of change from day 7 to day 14 is:
[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]
Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.
An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:
[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]
[tex]\to f(x) = 0.01\times (2)^x[/tex]
[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]
Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.
Learn more:
brainly.com/question/12997887
