Question

The number of visitors to a park is expected to follow the function v(x) = 5(x − 1), where x is the number of days since opening. On the first day, there will be a ceremony with 20 people in attendance. What is the function that shows total visitors, including the ceremony?

Answer 1

Just put the people attended the ceremony as a constant.

v(x) = 5(x − 1) + 20;

Answer 2

For this case, the first thing we must do is define variables.
We have then:
x: number of days
v (x): total number of visitors including the ceremony.
The function that represents the problem is:

`v (x) = 5 (x - 1) + k`
Where,
k: number of visitors on the first day.
To find the value of k we substitute the following pair ordered in the function:

`(x, v (x)) = (1, 20)`
We have then:

`20 = 5 (1 - 1) + k 20 = 5 (0) + k 20 = 0 + k 20 = k`
Then, the function is:

`v (x) = 5 (x - 1) + 20`
Answer:
the function that shows total visitors, including the ceremony is:

`v (x) = 5 (x - 1) + 20`