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

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

1 answer

To compare the reading rates of Student 1 and Student 2, we need to determine the pages read per hour for each student.

Student 1's reading rate: According to the graph, for Student 1:

  • At 1 hour: 10 pages
  • At 2 hours: 20 pages
  • At 3 hours: 30 pages
  • At 4 hours: 40 pages
  • At 5 hours: 50 pages

From this data, the reading rate of Student 1 is consistent: 10 pages per hour (calculated as pages divided by hours).

Student 2's reading rate: According to the table, for Student 2:

  • At 2 hours: 30 pages
  • At 3 hours: 45 pages
  • At 4 hours: 60 pages

To find Student 2's reading rate:

  • Between 2 and 3 hours: (45 pages - 30 pages) / (3 hours - 2 hours) = 15 pages per hour
  • Between 3 and 4 hours: (60 pages - 45 pages) / (4 hours - 3 hours) = 15 pages per hour

Thus, Student 2 has a reading rate of 15 pages per hour.

Comparison:

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

Thus, 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.