Question

Mrs. Hamilton hosts an annual art contest for kids, and she keeps a record of the number of entries each year.
Art contest entries
Year Number of entries
2021 54
2022 45
2023 55
2024 51
2025 59
According to the table, what was the rate of change between 2022 and 2025?
Round your answer to the nearest tenth.
entries per year

Answer 1

To find the rate of change in the number of entries from 2022 to 2025, we need to calculate the difference in the number of entries between those two years and then divide by the number of years between them.

From the table:
- The number of entries in 2022 was 45.
- The number of entries in 2025 was 59.

First, we'll find the difference in entries:
\[
59 - 45 = 14
\]

Next, we find the number of years between 2022 and 2025:
\[
2025 - 2022 = 3
\]

Now, we can calculate the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in entries}}{\text{Change in years}} = \frac{14}{3} \approx 4.67
\]

Rounding to the nearest tenth, the rate of change between 2022 and 2025 is approximately:
\[
\boxed{4.7} \text{ entries per year}
\]