Every day, there are 5 times more likes on an internet video of a dog which is modeled by the function c(n) = (5)n − 1, where n is the number of days since the video posted. On the first day, there were 103 likes. What is the function that shows the number of likes each day?
I think you may mean 5^(n-1)
try y = 103 * 5^(n-1)
when n = 1, y = 103 * 5^0 = 103
when n = 2, y = 103*5^1 = 103*5
when n = 3, y = 103*5^2 = 103*5*5 etc
To find the function that shows the number of likes each day, we need to consider the information provided. We are told that there are 5 times more likes every day. This means that the number of likes on day n will be 5 times the number of likes on day n-1.
Let's start by representing the number of likes on the first day as L(1). We are given that on the first day, there were 103 likes, so L(1) = 103.
To find the number of likes on subsequent days, we can use the formula: L(n) = 5 * L(n-1).
Using this formula, we can find the number of likes on the second day: L(2) = 5 * L(1).
Substituting L(1) = 103, we get L(2) = 5 * 103 = 515.
Similarly, we can find the number of likes on the third day: L(3) = 5 * L(2).
Substituting L(2) = 515, we get L(3) = 5 * 515 = 2575.
We can continue this process to find the number of likes on each subsequent day.
Therefore, the function that shows the number of likes each day can be expressed as:
L(n) = 5^n * L(1),
where n represents the number of days since the video was posted and L(1) is the initial number of likes on the first day.
In this case, the function becomes:
L(n) = 5^n * 103.