Question
A 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 10 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 1,000 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 1 comma 200 right parenthesis, left parenthesis 2 comma 300 right parenthesis, and left parenthesis 3 comma 400 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 10 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 1,000 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 1 comma 200 right parenthesis, left parenthesis 2 comma 300 right parenthesis, and left parenthesis 3 comma 400 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.
Image with alt text: 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.
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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 10 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 1,000 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 1 comma 200 right parenthesis, left parenthesis 2 comma 300 right parenthesis, and left parenthesis 3 comma 400 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 10 in 1 unit increments and the y-axis labeled as boxes of cookies ranging from 0 to 1,000 in increments of 100. Four unlabeled points are plotted as follows: left parenthesis 0 comma 100 right parenthesis, left parenthesis 1 comma 200 right parenthesis, left parenthesis 2 comma 300 right parenthesis, and left parenthesis 3 comma 400 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.
Image with alt text: 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.
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Answers
GPT-4o mini
To determine the correct graph that represents how many boxes of cookies the scout has over time, we need to analyze the situation:
- The scout starts with **100 boxes** of cookies.
- They sell **25 boxes every 3 hours**.
This means that for every 3 hours, the number of boxes sold will decrease by 25. We can calculate how many boxes remain over time:
1. After 0 hours: \(100\) boxes (start)
2. After 3 hours: \(100 - 25 = 75\) boxes
3. After 6 hours: \(75 - 25 = 50\) boxes
4. After 9 hours: \(50 - 25 = 25\) boxes
Now, looking for the graph that reflects the above points:
- At \(0\) hours, there are \(100\) boxes.
- At \(3\) hours, there are \(75\) boxes.
- At \(6\) hours, there are \(50\) boxes.
- At \(9\) hours, there are \(25\) boxes.
The only graph that accurately depicts the points
\((0, 100)\), \((3, 75)\), \((6, 50)\), and \((9, 25)\) is:
**The second graph:**
- It shows the points as \((0, 100)\), \((3, 75)\), \((6, 50)\), and \((9, 25)\), accurately depicting the decrease in boxes over time.
Thus, the correct choice is the second graph.
- The scout starts with **100 boxes** of cookies.
- They sell **25 boxes every 3 hours**.
This means that for every 3 hours, the number of boxes sold will decrease by 25. We can calculate how many boxes remain over time:
1. After 0 hours: \(100\) boxes (start)
2. After 3 hours: \(100 - 25 = 75\) boxes
3. After 6 hours: \(75 - 25 = 50\) boxes
4. After 9 hours: \(50 - 25 = 25\) boxes
Now, looking for the graph that reflects the above points:
- At \(0\) hours, there are \(100\) boxes.
- At \(3\) hours, there are \(75\) boxes.
- At \(6\) hours, there are \(50\) boxes.
- At \(9\) hours, there are \(25\) boxes.
The only graph that accurately depicts the points
\((0, 100)\), \((3, 75)\), \((6, 50)\), and \((9, 25)\) is:
**The second graph:**
- It shows the points as \((0, 100)\), \((3, 75)\), \((6, 50)\), and \((9, 25)\), accurately depicting the decrease in boxes over time.
Thus, the correct choice is the second graph.