Question

Fans of the Lancaster baseball team compared the number of games won by their team each year. Games won by the Lancaster baseball team Year Games won 2013 26 2014 33 2015 39 2016 28 2017 44 According to the table, what was the rate of change between 2014 and 2017? Round your answer to the nearest tenth.

Answer 1

To find the rate of change in the number of games won by the Lancaster baseball team between 2014 and 2017, we can use the formula for rate of change, which is:

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

From the data given:

- **Games won in 2014:** 33
- **Games won in 2017:** 44

Now, calculate the change in games won:

\[
\text{Change in Games Won} = 44 - 33 = 11
\]

Next, calculate the change in years:

\[
\text{Change in Years} = 2017 - 2014 = 3
\]

Now, plug these values into the formula for rate of change:

\[
\text{Rate of Change} = \frac{11}{3} \approx 3.6667
\]

Rounding to the nearest tenth gives us:

\[
\text{Rate of Change} \approx 3.7
\]

Therefore, the rate of change between 2014 and 2017 is approximately **3.7 games per year**.