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

Answer

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 $r=\frac{20}{100} =0.2$. 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:

$f(t)=41$

Answer 2

The answer to this problem is about 42 views.