The drama teacher monitored the number of people who attended the school's spring musical each year.

Attendance at the high school musical
Year Attendance
2019 939
2020 553
2021 196
2022 362
2023 394
According to the table, what was the rate of change between 2019 and 2023?
people per year

1 answer

To find the rate of change in attendance from 2019 to 2023, we can use the formula for the rate of change:

\[ \text{Rate of change} = \frac{\text{Change in attendance}}{\text{Change in time}} \]

First, we need to determine the change in attendance between the years:

  • Attendance in 2019: 939
  • Attendance in 2023: 394

Change in attendance:

\[ \text{Change in attendance} = 394 - 939 = -545 \]

The change in time from 2019 to 2023 is:

\[ \text{Change in time} = 2023 - 2019 = 4 \text{ years} \]

Now we can calculate the rate of change:

\[ \text{Rate of change} = \frac{-545}{4} = -136.25 \]

Thus, the rate of change in attendance from 2019 to 2023 is approximately -136.25 people per year. This indicates a decrease in attendance.