Question

Marvin kept track of the number of games his soccer team won each year.
Games won by Marvin's soccer team
Year Games won
2017 17
2018 38
2019 35
2020 50
2021 10
According to the table, what was the rate of change between 2018 and 2021?
Round your answer to the nearest tenth.
games per year

Answer 1

To calculate the rate of change between the years 2018 and 2021, we can use the formula for the rate of change:

\[
\text{Rate of Change} = \frac{\text{Change in Games Won}}{\text{Change in Years}}
\]

1. **Identify the number of games won:**
- Games won in 2018: 38
- Games won in 2021: 10

2. **Calculate the change in games won:**
\[
\text{Change in Games Won} = 10 - 38 = -28
\]

3. **Calculate the change in years:**
\[
\text{Change in Years} = 2021 - 2018 = 3
\]

4. **Calculate the rate of change:**
\[
\text{Rate of Change} = \frac{-28}{3} \approx -9.3333
\]

5. **Round to the nearest tenth:**
\[
-9.3333 \text{ rounded to the nearest tenth is } -9.3
\]

Thus, the rate of change between 2018 and 2021 is approximately \(-9.3\) games per year.