Question
page 7 of 7
Compare Proportional Relationships Quick Check
4 of 54 of 5 Items
Question
Use the image and table to answer the question.
An illustration shows a graph labeled Reading Rate. The horizontal axis is labeled hours and ranges from 0 to 6 in increments of 1. The vertical axis is labeled pages and ranges from 0 to 60 in increments of 10. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 10 right parenthesis, left parenthesis 2 comma 20 right parenthesis, left parenthesis 3 comma 30 right parenthesis, left parenthesis 4 comma 40 right parenthesis, and left parenthesis 5 comma 50 right parenthesis.
This table displays the number of pages read by Student 2 over different time intervals in hours.
Reading Rate for Student 2
Hours Pages
2 30
3 45
4 60
The reading rate for Student 1 is displayed in the graph and the reading rate for Student 2 is displayed in the table. Which student reads faster and by how much?
(1 point)
Responses
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.
Compare Proportional Relationships Quick Check
4 of 54 of 5 Items
Question
Use the image and table to answer the question.
An illustration shows a graph labeled Reading Rate. The horizontal axis is labeled hours and ranges from 0 to 6 in increments of 1. The vertical axis is labeled pages and ranges from 0 to 60 in increments of 10. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 10 right parenthesis, left parenthesis 2 comma 20 right parenthesis, left parenthesis 3 comma 30 right parenthesis, left parenthesis 4 comma 40 right parenthesis, and left parenthesis 5 comma 50 right parenthesis.
This table displays the number of pages read by Student 2 over different time intervals in hours.
Reading Rate for Student 2
Hours Pages
2 30
3 45
4 60
The reading rate for Student 1 is displayed in the graph and the reading rate for Student 2 is displayed in the table. Which student reads faster and by how much?
(1 point)
Responses
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.
Answers
GPT-4o mini
To determine which student reads faster and by how much, we need to calculate the reading rate (pages read per hour) for both students.
**For Student 1 (from the graph)**:
- From the graph, each data point shows that Student 1 reads 10 pages in 1 hour.
- Thus, the reading rate for Student 1 is:
\[
\frac{10 \text{ pages}}{1 \text{ hour}} = 10 \text{ pages/hour}
\]
**For Student 2 (from the table)**:
- The table provides data at three different hours:
- At 2 hours: 30 pages
- At 3 hours: 45 pages
- At 4 hours: 60 pages
To find the reading rate of Student 2, we can calculate the pages per hour over the given time intervals:
1. From 0 to 2 hours: 30 pages
\[
\frac{30 \text{ pages}}{2 \text{ hours}} = 15 \text{ pages/hour}
\]
2. From 2 to 3 hours: an additional 15 pages (from 30 to 45 pages)
\[
\frac{15 \text{ pages}}{1 \text{ hour}} = 15 \text{ pages/hour}
\]
3. From 3 to 4 hours: another 15 pages (from 45 to 60 pages)
\[
\frac{15 \text{ pages}}{1 \text{ hour}} = 15 \text{ pages/hour}
\]
Overall, the reading rate for Student 2 remains consistent:
- The average reading rate for Student 2 is 15 pages/hour.
**Comparing the two rates**:
- Student 1: 10 pages/hour
- Student 2: 15 pages/hour
**Difference**:
\[
15 \text{ pages/hour} - 10 \text{ pages/hour} = 5 \text{ pages/hour}
\]
Therefore, **Student 2 reads faster than Student 1 by 5 pages per hour**.
The correct response is:
**Student 2 reads faster than Student 1 by 5 pages per hour.**
**For Student 1 (from the graph)**:
- From the graph, each data point shows that Student 1 reads 10 pages in 1 hour.
- Thus, the reading rate for Student 1 is:
\[
\frac{10 \text{ pages}}{1 \text{ hour}} = 10 \text{ pages/hour}
\]
**For Student 2 (from the table)**:
- The table provides data at three different hours:
- At 2 hours: 30 pages
- At 3 hours: 45 pages
- At 4 hours: 60 pages
To find the reading rate of Student 2, we can calculate the pages per hour over the given time intervals:
1. From 0 to 2 hours: 30 pages
\[
\frac{30 \text{ pages}}{2 \text{ hours}} = 15 \text{ pages/hour}
\]
2. From 2 to 3 hours: an additional 15 pages (from 30 to 45 pages)
\[
\frac{15 \text{ pages}}{1 \text{ hour}} = 15 \text{ pages/hour}
\]
3. From 3 to 4 hours: another 15 pages (from 45 to 60 pages)
\[
\frac{15 \text{ pages}}{1 \text{ hour}} = 15 \text{ pages/hour}
\]
Overall, the reading rate for Student 2 remains consistent:
- The average reading rate for Student 2 is 15 pages/hour.
**Comparing the two rates**:
- Student 1: 10 pages/hour
- Student 2: 15 pages/hour
**Difference**:
\[
15 \text{ pages/hour} - 10 \text{ pages/hour} = 5 \text{ pages/hour}
\]
Therefore, **Student 2 reads faster than Student 1 by 5 pages per hour**.
The correct response is:
**Student 2 reads faster than Student 1 by 5 pages per hour.**