Question

On the first day it was posted online, a music video got 250 views. The number of views that the video got each day increased by 16% per day. How many total views did the video get over the course of the first 12 days, to the nearest whole number?

Answer 1

You can use a function to solve this.

Since we are talking about percents, this will be an exponential function.

The general form of exponential function is $f(x) = a(b)^x$ where a is the y intercept and b is the rate of change.

For this question, we have a percentage thingamajig here. The first thing we need to do is convert the percentage to a decimal. So if it is a 16% increase, we will convert that to 1.16. 1.16 will be the variable b

The video got 250 views on the first day. So that means the variable a will equal 250.

The final function will be: $f(x) = 250(1.16)^x$

To finally solve this, we need to replace f(x) with f(12) and the other x in the formula with 12 as well. This is because the question is asking for the number of views in 12 days.

So after solving the function, we get 1484.0067... but since we can't have a fraction of a view, we will round that down to 1484 views.

Hope this helps!