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.