Question
scout has 100 boxes of cookies to sell. They sell 25 boxes every 3 hours. Select the graph that shows how many boxes of cookies the scout has over time.(1 point)
Responses
A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 175 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 125 right parenthesis, left parenthesis 6 comma 150 right parenthesis, and left parenthesis 9 comma 175 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 175 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 125 right parenthesis, left parenthesis 6 comma 150 right parenthesis, and left parenthesis 9 comma 175 right parenthesis. A solid arrow passes through these points.
A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 150 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 75 right parenthesis, left parenthesis 6 comma 50 right parenthesis, and left parenthesis 9 comma 25 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 150 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 75 right parenthesis, left parenthesis 6 comma 50 right parenthesis, and left parenthesis 9 comma 25 right parenthesis. A solid arrow passes through these points.
A coordinate graph shows the x-axis labeled as hours ranging from 0 to 8 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 10 in 1 unit increments. Six unlabeled points are plotted as follows: left parenthesis 0 comma 10 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 8 right parenthesis, left parenthesis 3 comma 7 right parenthesis, left parenthesis 4 comma 6 right parenthesis, and left parenthesis 5 comma 5 right parenthesis. A solid arrow passes through these points.
Responses
A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 175 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 125 right parenthesis, left parenthesis 6 comma 150 right parenthesis, and left parenthesis 9 comma 175 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 175 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 125 right parenthesis, left parenthesis 6 comma 150 right parenthesis, and left parenthesis 9 comma 175 right parenthesis. A solid arrow passes through these points.
A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 150 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 75 right parenthesis, left parenthesis 6 comma 50 right parenthesis, and left parenthesis 9 comma 25 right parenthesis. A solid arrow passes through these points.
Image with alt text: A coordinate graph shows the x-axis labeled as hours ranging from 0 to 9 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 150 in increments of 25. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 3 comma 75 right parenthesis, left parenthesis 6 comma 50 right parenthesis, and left parenthesis 9 comma 25 right parenthesis. A solid arrow passes through these points.
A coordinate graph shows the x-axis labeled as hours ranging from 0 to 8 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 10 in 1 unit increments. Six unlabeled points are plotted as follows: left parenthesis 0 comma 10 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 8 right parenthesis, left parenthesis 3 comma 7 right parenthesis, left parenthesis 4 comma 6 right parenthesis, and left parenthesis 5 comma 5 right parenthesis. A solid arrow passes through these points.
Answers
GPT-4o mini
To determine which graph correctly represents how many boxes of cookies the scout has over time, we need to analyze the cookie sales data provided:
- The scout starts with **100 boxes** of cookies.
- The scout sells **25 boxes every 3 hours**.
Calculating how the number of boxes decreases over time:
1. **At 0 hours**:
Cookies left = 100
2. **At 3 hours**:
Cookies left = 100 - 25 = 75
3. **At 6 hours**:
Cookies left = 75 - 25 = 50
4. **At 9 hours**:
Cookies left = 50 - 25 = 25
Now let's look at the graphs:
1. **First graph**: Plots points at (0, 100), (3, 125), (6, 150), and (9, 175).
- This does not reflect the decreasing amount of cookies.
2. **Second graph**: Plots points at (0, 100), (3, 75), (6, 50), and (9, 25).
- This accurately reflects the decreasing amount of cookies over time.
3. **Third graph**: Plots points (0, 10), (1, 9), (2, 8), (3, 7), (4, 6), and (5, 5).
- This does not represent the cookie situation effectively either.
The second graph is the only one that accurately represents the situation where cookies decrease from 100 to 75 to 50 to 25 over the specified 9 hours.
**The correct choice is the second graph.**
- The scout starts with **100 boxes** of cookies.
- The scout sells **25 boxes every 3 hours**.
Calculating how the number of boxes decreases over time:
1. **At 0 hours**:
Cookies left = 100
2. **At 3 hours**:
Cookies left = 100 - 25 = 75
3. **At 6 hours**:
Cookies left = 75 - 25 = 50
4. **At 9 hours**:
Cookies left = 50 - 25 = 25
Now let's look at the graphs:
1. **First graph**: Plots points at (0, 100), (3, 125), (6, 150), and (9, 175).
- This does not reflect the decreasing amount of cookies.
2. **Second graph**: Plots points at (0, 100), (3, 75), (6, 50), and (9, 25).
- This accurately reflects the decreasing amount of cookies over time.
3. **Third graph**: Plots points (0, 10), (1, 9), (2, 8), (3, 7), (4, 6), and (5, 5).
- This does not represent the cookie situation effectively either.
The second graph is the only one that accurately represents the situation where cookies decrease from 100 to 75 to 50 to 25 over the specified 9 hours.
**The correct choice is the second graph.**