Question
A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year.
Straight-A students
Year Students
2014 644
2015 677
2016 570
2017 683
2018 572
According to the table, what was the rate of change between 2014 and 2018?
students per year
Straight-A students
Year Students
2014 644
2015 677
2016 570
2017 683
2018 572
According to the table, what was the rate of change between 2014 and 2018?
students per year
Answers
GPT-4o mini
To calculate the rate of change of straight-A students from 2014 to 2018, we can use the formula for the rate of change:
\[
\text{Rate of Change} = \frac{\text{Value at End Year} - \text{Value at Start Year}}{\text{Number of Years}}
\]
In this case, we want to find the rate of change from 2014 to 2018.
- Value in 2014 (Start Year): 644 students
- Value in 2018 (End Year): 572 students
- Number of Years: 2018 - 2014 = 4 years
Now, plugging in these values:
\[
\text{Rate of Change} = \frac{572 - 644}{4}
\]
\[
\text{Rate of Change} = \frac{-72}{4} = -18
\]
Therefore, the rate of change in the number of straight-A students from 2014 to 2018 is \(-18\) students per year. This indicates a decrease in the number of straight-A students during this time period.
\[
\text{Rate of Change} = \frac{\text{Value at End Year} - \text{Value at Start Year}}{\text{Number of Years}}
\]
In this case, we want to find the rate of change from 2014 to 2018.
- Value in 2014 (Start Year): 644 students
- Value in 2018 (End Year): 572 students
- Number of Years: 2018 - 2014 = 4 years
Now, plugging in these values:
\[
\text{Rate of Change} = \frac{572 - 644}{4}
\]
\[
\text{Rate of Change} = \frac{-72}{4} = -18
\]
Therefore, the rate of change in the number of straight-A students from 2014 to 2018 is \(-18\) students per year. This indicates a decrease in the number of straight-A students during this time period.