Compare Proportional Relationships Quick Check

Question

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 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 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.

Student 1 reads faster than Student 2 by 10 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.
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Answer 1

To compare the reading rates of Students 1 and 2, we first need to calculate the reading rates of both students.

For Student 1 (from the graph):

• The reading rate can be determined from the points on the line. For example:
  • At 1 hour, Student 1 reads 10 pages (10 pages/hour).
  • At 2 hours, Student 1 reads 20 pages, and so on.

The reading rate for Student 1 is constant:

• 10 pages in 1 hour (which is 10 pages/hour).

For Student 2 (from the table):

• We can calculate the reading rate for each interval:
  • From 2 to 3 hours: 45 - 30 = 15 pages in 1 hour (15 pages/hour).
  • From 3 to 4 hours: 60 - 45 = 15 pages in 1 hour (15 pages/hour).

The reading rate for Student 2 is also constant:

• 15 pages in 1 hour (which is 15 pages/hour).

Comparison:

• Student 1 reads at a rate of 10 pages/hour.
• Student 2 reads at a rate of 15 pages/hour.

Conclusion: Student 2 reads faster than Student 1 by: 15 pages/hour - 10 pages/hour = 5 pages/hour.

So the correct response is: Student 2 reads faster than Student 1 by 5 pages per hour.