Question

The stadium where Beyoncé's concert was held had a seating capacity of 50,000 people. If the attendance at the concert increased exponentially by 10% each hour starting from the concert's start time, 7:00PM, how many people attended the concert by the time it ended at 11:00 PM?

Answer 1

By the time the concert ended at 11:00 PM, approximately 73,205 people attended the concert.

Step-by-step explanation:

To find the number of people attending the concert by the time it ended at 11:00 PM, we need to calculate the number of hours from the start time.

Start time = 7:00 PM
End time = 11:00 PM

Number of hours = (11:00 PM - 7:00 PM) = 4 hours

Attendance increases exponentially by 10% each hour. This means that each hour, the attendance is multiplied by 1.1.

Starting with a seating capacity of 50,000, we can calculate the attendance at the end of each hour:

1. Hour 1: 50,000 * 1.1 = 55,000
2. Hour 2: 55,000 * 1.1 = 60,500
3. Hour 3: 60,500 * 1.1 = 66,550
4. Hour 4 (end time): 66,550 * 1.1 = 73,205

Therefore, by the time the concert ended at 11:00 PM, approximately 73,205 people attended the concert.