Question

he initial number of views for a blog was 20. The number of views is growing exponentially at a rate of 20% 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

41 views

Explanation:

Because 41.472 is rounded to 41.

Answer 2

41 views

Explanation

To solve this, we are going to use the exponential function:

`f(t)=a(1+b)^t`

`f(t)` is the final number of views after
`t` weeks

`a` is the number of views

`b` is the growing rate in decimal form

`t` is the time in weeks

We know from our problem that the number initial views was 20 and the growing rate is 20%, so
`a=20` and
`r=(20)/(100) =0.2`. Let's replace the values in our exponential function:

`f(t)=a(1+b)^t`

`f(t)=20(1+0.2)^t`

`f(t)=20(1.2)^t`

Now to find the number of views expected four weeks from now, we just need to replace t with 4, so
`t=4`

`f(t)=20(1.2)^t`

`f(4)=20(1.2)^4`

`f(t)=41.472`

And rounded to the nearest whole number:

`f(t)=41`