Question

The function n(t) gives the number of people in an auditorium, t hours after the doors open. Use function notation to describe each situation.

Answer 1

The function n(t) represents the number of people in an auditorium, t hours after the doors open.

Step-by-step explanation:

The function n(t) represents the number of people in an auditorium, t hours after the doors open. In function notation, we would write it as n(t). For example, if the doors have been open for 2 hours, we can find the number of people by evaluating n(2).

In mathematical terms, the function n(t) is a relation that associates each value of t with a corresponding value of n. It allows us to describe how the number of people in the auditorium changes over time.

Using function notation is helpful because it makes it clear that n depends on t. It also allows us to perform operations on the function, such as finding the average rate of change or solving equations involving n.