Question

A popular music band performed in an auditorium filled to capacity with 400 people in the audience. When the performance was over, the people in the audience left the auditorium at a constant rate of 30 people per minute.

Determine whether each statement about the number of people in the auditorium is true. Select True or False for each statement.
Statement
True
False
The initial amount of people in the auditorium is 30 people.
One hundred fifty people leave the auditorium every 5 minutes.
The auditorium will be empty at 13 minutes.

Answer 1

The initial amount is 400 people, and they leave at 30 people per minute.

- The initial amount of people in the auditorium is 30 people. — False (initial amount = 400).
- One hundred fifty people leave the auditorium every 5 minutes. — True (30 × 5 = 150).
- The auditorium will be empty at 13 minutes. — False (time to empty = 400 ÷ 30 ≈ 13.33 minutes).