Question
The athletic department director at Riverside High reported on the number of athletes at the school each year.
Athletes at Riverside High
Year Athletes
2012 793
2013 781
2014 782
2015 786
2016 780
According to the table, what was the rate of change between 2012 and 2016?
athletes per year
Athletes at Riverside High
Year Athletes
2012 793
2013 781
2014 782
2015 786
2016 780
According to the table, what was the rate of change between 2012 and 2016?
athletes per year
Answers
GPT-4o mini
To calculate the rate of change in the number of athletes at Riverside High between 2012 and 2016, we can use the formula for the rate of change:
\[
\text{Rate of Change} = \frac{\text{Change in Number of Athletes}}{\text{Change in Time}}
\]
1. **Find the number of athletes in 2012 and 2016:**
- Athletes in 2012: 793
- Athletes in 2016: 780
2. **Calculate the change in the number of athletes:**
\[
\text{Change in Number of Athletes} = 780 - 793 = -13
\]
3. **Calculate the change in time:**
\[
\text{Change in Time} = 2016 - 2012 = 4 \text{ years}
\]
4. **Now, plug the values into the rate of change formula:**
\[
\text{Rate of Change} = \frac{-13}{4} = -3.25
\]
The rate of change of the number of athletes at Riverside High between 2012 and 2016 is \(-3.25\) athletes per year. This indicates a decrease in the number of athletes.
\[
\text{Rate of Change} = \frac{\text{Change in Number of Athletes}}{\text{Change in Time}}
\]
1. **Find the number of athletes in 2012 and 2016:**
- Athletes in 2012: 793
- Athletes in 2016: 780
2. **Calculate the change in the number of athletes:**
\[
\text{Change in Number of Athletes} = 780 - 793 = -13
\]
3. **Calculate the change in time:**
\[
\text{Change in Time} = 2016 - 2012 = 4 \text{ years}
\]
4. **Now, plug the values into the rate of change formula:**
\[
\text{Rate of Change} = \frac{-13}{4} = -3.25
\]
The rate of change of the number of athletes at Riverside High between 2012 and 2016 is \(-3.25\) athletes per year. This indicates a decrease in the number of athletes.