Question
Every year Morristown has a citywide relay and reports the winning times. Winning relay times Year Winning time (minutes) 2012 43 2013 39 2014 49 2015 44 2016 52 According to the table, what was the rate of change between 2014 and 2016?
Answers
GPT-4o mini
To calculate the rate of change of the winning times between the years 2014 and 2016, we need to find the difference between the winning times for those two years and divide it by the difference in the years.
The winning times are as follows:
- Winning time in 2014: 49 minutes
- Winning time in 2016: 52 minutes
First, find the change in time:
\[
\text{Change in time} = \text{Winning time in 2016} - \text{Winning time in 2014} = 52 - 49 = 3 \text{ minutes}
\]
Next, find the change in years:
\[
\text{Change in years} = 2016 - 2014 = 2 \text{ years}
\]
Now, calculate the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in time}}{\text{Change in years}} = \frac{3 \text{ minutes}}{2 \text{ years}} = 1.5 \text{ minutes per year}
\]
Therefore, the rate of change between 2014 and 2016 is **1.5 minutes per year**.
The winning times are as follows:
- Winning time in 2014: 49 minutes
- Winning time in 2016: 52 minutes
First, find the change in time:
\[
\text{Change in time} = \text{Winning time in 2016} - \text{Winning time in 2014} = 52 - 49 = 3 \text{ minutes}
\]
Next, find the change in years:
\[
\text{Change in years} = 2016 - 2014 = 2 \text{ years}
\]
Now, calculate the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in time}}{\text{Change in years}} = \frac{3 \text{ minutes}}{2 \text{ years}} = 1.5 \text{ minutes per year}
\]
Therefore, the rate of change between 2014 and 2016 is **1.5 minutes per year**.