Question

mrs. snyder 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 2020 35 2021 49 2022 68 2023 55 2024 25 according to the table, what was the rate of change between 2022 and 2024? entries per year

Explanation:

Step1: Identify the formula for rate of change

The formula for rate of change is $\text{Rate of Change}=\frac{\text{Change in Value}}{\text{Change in Time}}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Assign values

Let $(x_1,y_1)=(2022,68)$ and $(x_2,y_2)=(2024,25)$. Then $x_2 - x_1=2024 - 2022 = 2$ and $y_2 - y_1=25 - 68=-43$.

Step3: Calculate the rate of change

Substitute into the formula: $\frac{y_2 - y_1}{x_2 - x_1}=\frac{25 - 68}{2024 - 2022}=\frac{-43}{2}=-21.5$.

Answer:

$-21.5$