Compare Proportional Relationships Quick Check
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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 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 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.
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Looking at the table, we can see that Student 2 reads 30 pages in 2 hours and 45 pages in 3 hours. This means that their reading rate is increasing as the number of hours increases.
On the other hand, looking at the graph for Student 1, we can see that the line segment connecting the points labeled (2, 20) and (4, 40) has a constant slope, indicating a constant reading rate of 10 pages per hour.
Therefore, Student 1 reads faster than Student 2 by 10 pages per hour.
The correct answer is:
Student 1 reads faster than Student 2 by 10 pages per hour.
To compare the reading rates of Student 1 and Student 2, we need to look at their respective rates of pages read per hour.
For Student 1, the graph shows that in 2 hours, they read 20 pages. This means their reading rate is 20 pages / 2 hours = 10 pages per hour.
For Student 2, the table shows that in 2 hours, they read 30 pages. This means their reading rate is 30 pages / 2 hours = 15 pages per hour.
Comparing the reading rates, we can see that Student 2 reads faster than Student 1 by 15 - 10 = 5 pages per hour.
Therefore, the correct answer is: Student 2 reads faster than Student 1 by 5 pages per hour.