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.
Reading Rate for Student 2
Hours Pages
2 30
3 45
4 600
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 1 reads faster than Student 2 by 10 pages per hour.
Student 1 reads faster than Student 2 by 10 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 5 pages per hour.
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
To determine which student reads faster, we can compare their reading rates at the same number of hours.
At 2 hours, Student 1 reads 20 pages while Student 2 reads 30 pages. Therefore, Student 2 reads faster by 10 pages.
Therefore, the correct answer is:
Student 2 reads faster than Student 1 by 10 pages per hour.
To determine which student reads faster and by how much, we need to compare the reading rates of Student 1 and Student 2.
Looking at the graph and table, we can see that for Student 1, the reading rate is represented by the upward slanting line segment connecting the points (0, 0), (1, 10), (2, 20), (3, 30), (4, 40), and (5, 50).
For Student 2, the reading rate is given in the table as follows:
- At 2 hours, the number of pages read is 30.
- At 3 hours, the number of pages read is 45.
- At 4 hours, the number of pages read is 60.
Comparing the reading rates, we can see that at 2 hours, Student 1 reads 20 pages, while Student 2 reads 30 pages.
Therefore, Student 2 reads faster than Student 1 by 10 pages per hour.
The correct answer is:
Student 2 reads faster than Student 1 by 10 pages per hour.