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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 15 pages per hour.
Student 2 reads faster than Student 1 by 15 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.

Student 1 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.
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1 answer

To determine which student reads faster, we need to calculate the reading rates for both Student 1 (from the graph) and Student 2 (from the table).

Student 1's Reading Rate:

From the graph:

  • At 1 hour, Student 1 reads 10 pages.
  • At 2 hours, Student 1 reads 20 pages.
  • At 3 hours, Student 1 reads 30 pages.
  • At 4 hours, Student 1 reads 40 pages.
  • At 5 hours, Student 1 reads 50 pages.

The reading rate for Student 1 is consistent at 10 pages per hour.

Student 2's Reading Rate:

From the table:

  • At 2 hours, Student 2 reads 30 pages, so the rate is 30 pages / 2 hours = 15 pages per hour.
  • At 3 hours, Student 2 reads 45 pages, so the rate is 45 pages / 3 hours = 15 pages per hour.
  • At 4 hours, Student 2 reads 60 pages, so the rate is 60 pages / 4 hours = 15 pages per hour.

The reading rate for Student 2 is consistent at 15 pages per hour.

Comparison:

  • Student 1: 10 pages per hour
  • Student 2: 15 pages per hour

To find the difference in reading rates: 15 pages per hour (Student 2) - 10 pages per hour (Student 1) = 5 pages per 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.