Question

Everyday there are 4 times more like on an internet video of a horse which is modeled by the function c(n)=(4)^n-1 where n is the number of day since the video posted on the first day there were 100 likes what is the function that shows the number of likes each day

Answer 1

Explanation:

A better way to write the first function would be:

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

On the first day, c(n)=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.