Question

Every day, there are 2 times more likes on the internet video of a bird which is modeled by the function c(n) = (2)^n-1, where n is the number of days since the video posted. On the first day, there were 122 likes. What is the function that shows the number of likes each day?

Answer 1

Answer:
C(n) = 122 * 2^n

Explanation:
We are given that:
Each day, the number of likes increases two times compared to the previous day. This means that we can write the function as follows:
C(n) = 2*C(n-1)

We are given that:
C(0) = 122 likes (initial value)
Therefore, our function would become:
C(n) = 122 * 2^n

Now, let's test this function:
C(0) = 122 * 2^0= 122
C(1) = 122 * 2^1 = 244 (this is twice c(0))
C(2) = 122 * 2^2 = 488 (this is twice c(1))
.....and so on

Hope this helps :)