Question
Mrs. Simon 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 53 2022 43 2023 41 2024 51 2025 49 According to the table, what was the rate of change between 2021 and 2023? entries per year
Answers
GPT-4o mini
To find the rate of change in the number of entries between the years 2021 and 2023, we use the formula for the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in entries}}{\text{Change in years}}
\]
From the table, we have:
- Number of entries in 2021: 53
- Number of entries in 2023: 41
- Change in entries = Number of entries in 2023 - Number of entries in 2021 = 41 - 53 = -12
- Change in years = 2023 - 2021 = 2
Now, substituting the values into the formula:
\[
\text{Rate of change} = \frac{-12}{2} = -6
\]
Thus, the rate of change in the number of entries between 2021 and 2023 is \(-6\) entries per year. This indicates a decrease of 6 entries per year.
\[
\text{Rate of change} = \frac{\text{Change in entries}}{\text{Change in years}}
\]
From the table, we have:
- Number of entries in 2021: 53
- Number of entries in 2023: 41
- Change in entries = Number of entries in 2023 - Number of entries in 2021 = 41 - 53 = -12
- Change in years = 2023 - 2021 = 2
Now, substituting the values into the formula:
\[
\text{Rate of change} = \frac{-12}{2} = -6
\]
Thus, the rate of change in the number of entries between 2021 and 2023 is \(-6\) entries per year. This indicates a decrease of 6 entries per year.