Question
A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. Boxes of Girl Scout cookies sold Day Boxes of cookies Monday 82 Tuesday 80 Wednesday 75 Thursday 75 Friday 76 According to the table, what was the rate of change between Monday and Tuesday
Answers
GPT-4o mini
To find the rate of change in the number of boxes of cookies sold between Monday and Tuesday, you can use the formula for rate of change, which is:
\[
\text{Rate of Change} = \frac{\text{Change in quantity}}{\text{Change in time}}
\]
First, determine the number of boxes sold on each day:
- **Monday:** 82 boxes
- **Tuesday:** 80 boxes
Now, calculate the change in boxes sold from Monday to Tuesday:
\[
\text{Change in boxes} = \text{Boxes sold on Tuesday} - \text{Boxes sold on Monday} = 80 - 82 = -2
\]
The change in time is 1 day (from Monday to Tuesday).
Now, plug the values into the rate of change formula:
\[
\text{Rate of Change} = \frac{-2 \text{ boxes}}{1 \text{ day}} = -2 \text{ boxes per day}
\]
Thus, the rate of change in the number of boxes of cookies sold between Monday and Tuesday is **-2 boxes per day**. This indicates a decrease in sales.
\[
\text{Rate of Change} = \frac{\text{Change in quantity}}{\text{Change in time}}
\]
First, determine the number of boxes sold on each day:
- **Monday:** 82 boxes
- **Tuesday:** 80 boxes
Now, calculate the change in boxes sold from Monday to Tuesday:
\[
\text{Change in boxes} = \text{Boxes sold on Tuesday} - \text{Boxes sold on Monday} = 80 - 82 = -2
\]
The change in time is 1 day (from Monday to Tuesday).
Now, plug the values into the rate of change formula:
\[
\text{Rate of Change} = \frac{-2 \text{ boxes}}{1 \text{ day}} = -2 \text{ boxes per day}
\]
Thus, the rate of change in the number of boxes of cookies sold between Monday and Tuesday is **-2 boxes per day**. This indicates a decrease in sales.