Question
A pair of Franklin High School hockey fans counted the number of games won by the school each year. Hockey games won by Franklin High Year Games won 2012 12 2013 9 2014 17 2015 15 2016 15 According to the table, what was the rate of change between 2012 and 2015?
Answers
GPT-4o mini
To find the rate of change between the years 2012 and 2015 for the number of hockey games won by Franklin High School, we can use the following formula for rate of change:
\[
\text{Rate of change} = \frac{\text{(value at end year)} - \text{(value at start year)}}{\text{(end year)} - \text{(start year)}}
\]
From the table, we have:
- Games won in 2012: 12
- Games won in 2015: 15
Now, we can plug in these values into the formula:
- Start year (2012): 12 games won
- End year (2015): 15 games won
Calculating the rate of change:
\[
\text{Rate of change} = \frac{15 - 12}{2015 - 2012} = \frac{3}{3} = 1
\]
Thus, the rate of change in the number of games won by Franklin High School between 2012 and 2015 is **1 game per year**.
\[
\text{Rate of change} = \frac{\text{(value at end year)} - \text{(value at start year)}}{\text{(end year)} - \text{(start year)}}
\]
From the table, we have:
- Games won in 2012: 12
- Games won in 2015: 15
Now, we can plug in these values into the formula:
- Start year (2012): 12 games won
- End year (2015): 15 games won
Calculating the rate of change:
\[
\text{Rate of change} = \frac{15 - 12}{2015 - 2012} = \frac{3}{3} = 1
\]
Thus, the rate of change in the number of games won by Franklin High School between 2012 and 2015 is **1 game per year**.