Question

The athletic department director at Fairview High reported on the number of athletes at the school each year.
Athletes at Fairview High
Year Athletes
2021 366
2022 397
2023 329
2024 380
2025 423
According to the table, what was the rate of change between 2022 and 2024?
athletes per year

Answer 1

To find the rate of change between the years 2022 and 2024, you need to calculate the difference in the number of athletes between those two years and then divide by the number of years between them.

From the table:

- Athletes in 2022: 397
- Athletes in 2024: 380

**Step 1: Calculate the change in the number of athletes.**
\[
\text{Change} = \text{Athletes in 2024} - \text{Athletes in 2022}
\]
\[
\text{Change} = 380 - 397 = -17
\]

**Step 2: Calculate the number of years between 2022 and 2024.**
\[
\text{Years} = 2024 - 2022 = 2
\]

**Step 3: Calculate the rate of change.**
\[
\text{Rate of Change} = \frac{\text{Change}}{\text{Years}}
\]
\[
\text{Rate of Change} = \frac{-17}{2} = -8.5
\]

Thus, the rate of change in the number of athletes between 2022 and 2024 is \(-8.5\) athletes per year.