Question

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.

Answer 1

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.

Answer 2

Answer: After four weeks fron now, the expected value of views is 33.

Step-by-step explanation:

We know that the initial number of views was 15 and that this number is growing exponentially at a rate of 22% per week. A grow of 22% of a quantity A is written as A + A*0.22 = A*1.22

This means that we can model this with the equation:

V(w) = 15*(1.22)^w

Where V stands for views, and W for weeks.

Here you can see that at week zero, you got the initial number of views:

V(0) = 15*(1.22)^0 = 15

Now we want to see the number of views for week 4.

V(4) = 15*(1.22)^4 = 33.23

And we need to round it to the next whole number; this is 33.