Question

You start out with a penny that will double every day for 30 days. Find the average rate of change from day 7 to day 14. Remember that this function has already been shown to be f(x)=0.01(2)^x.

Answer 1

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:

$r = \frac{f(B) - f(A)}{B - A}$

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:

$r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22$

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.