Every day, there are 4 times more likes on an internet video of a horse which is modeled by the function c (n) = (4) n - 1, where n is the number of days since the video posted. On the first day, there were 100 likes. What is the function that shows the number of likes each day?

A better way to write the first function would be:

c (n) = 4 * c (n-1), meaning that the number of of likes is equal to four times the number of likes from the previous day.

On the first day, c (n), or c (0) = 100

Therefore:

C (n) = 100 * 4^n

Let's plug in a view values to test our function:

When n = 0 (first day)

C (0) = 100 * 4 ^0 = 100*1 = 100 likes

C (1) = 100 * 4^1 = 100 * 4 = 400 likes, four times the previous day

C (2) = 100 * 4^2 = 100 * 16 = 1600 likes, four times the previous day

And so on. Our function is an accurate descriptor of the model.