Q:

The initial number of views for a certain website was 15. The number of views is growing exponentially at a rate of 22% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number. Enter your answer in the box.

Accepted Solution

A:
Basically what is happening is:
You start out with 15. That 1st week you have 22% more than 15, or in other words 15*1.22. The following week you have 22% more than 22% more of 15, which is 15*1.22*1.22.

Now we can write a function that models this situation:
f(n): number of views
n: number of weeks since you started

f(n) = 15(1.22^n)

We want to find out how many views there are after four weeks, so plug 4 in for n.

f(4) = 15(1.22^4)
f(4) = 33.23

This means after 4 weeks you can expect the video to have 33 views.