Question
Kenny kept track of the number of games his soccer team won each year. Games won by Kenny's soccer team Year Games won 2012 38 2013 48 2014 39 2015 45 2016 36 According to the table, what was the rate of change between 2014 and 2016?
Answers
GPT-4o mini
To find the rate of change in the number of games won by Kenny's soccer team between 2014 and 2016, we can use the formula for the rate of change:
\[
\text{Rate of Change} = \frac{\text{Change in Games Won}}{\text{Change in Year}}
\]
First, let's identify the number of games won in 2014 and 2016:
- Games won in 2014: 39
- Games won in 2016: 36
Now, we can calculate the change in games won:
\[
\text{Change in Games Won} = \text{Games won in 2016} - \text{Games won in 2014} = 36 - 39 = -3
\]
Next, we find the change in years:
\[
\text{Change in Year} = 2016 - 2014 = 2
\]
Now, we can calculate the rate of change:
\[
\text{Rate of Change} = \frac{-3}{2} = -1.5
\]
Thus, the rate of change between 2014 and 2016 is \(-1.5\) games per year. This indicates that, on average, the soccer team lost 1.5 games per year between those two years.
\[
\text{Rate of Change} = \frac{\text{Change in Games Won}}{\text{Change in Year}}
\]
First, let's identify the number of games won in 2014 and 2016:
- Games won in 2014: 39
- Games won in 2016: 36
Now, we can calculate the change in games won:
\[
\text{Change in Games Won} = \text{Games won in 2016} - \text{Games won in 2014} = 36 - 39 = -3
\]
Next, we find the change in years:
\[
\text{Change in Year} = 2016 - 2014 = 2
\]
Now, we can calculate the rate of change:
\[
\text{Rate of Change} = \frac{-3}{2} = -1.5
\]
Thus, the rate of change between 2014 and 2016 is \(-1.5\) games per year. This indicates that, on average, the soccer team lost 1.5 games per year between those two years.