Question

Jerry kept track of the number of games his soccer team won each year.
Games won by Jerry's soccer team
Year Games won
2012 22
2013 14
2014 9
2015 24
2016 14
According to the table, what was the rate of change between 2012 and 2016?
games per year

Answer 1

To find the rate of change in the number of games won by Jerry's soccer team between the years 2012 and 2016, we can use the formula for the rate of change:

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

First, we determine the games won in the years 2012 and 2016:

- Games won in 2012: 22
- Games won in 2016: 14

Next, we calculate the change in games won:

\[
\text{Change in Games Won} = \text{Games won in 2016} - \text{Games won in 2012} = 14 - 22 = -8
\]

Next, we calculate the change in years:

\[
\text{Change in Years} = 2016 - 2012 = 4
\]

Now we can substitute these values into the rate of change formula:

\[
\text{Rate of Change} = \frac{-8}{4} = -2
\]

Thus, the rate of change in the number of games won by Jerry's soccer team between 2012 and 2016 is \(-2\) games per year. This indicates that, on average, the team won 2 fewer games per year over that period.