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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.

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 5 pages per hour.

Student 1 reads faster than Student 1 by 5 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.

1 answer

To determine which student reads faster and by how much, we first need to calculate the reading rates for both students.

For Student 1 (from the graph):

  • The graph shows that after 2 hours, Student 1 reads 20 pages.
  • After 3 hours, Student 1 reads 30 pages.
  • After 4 hours, Student 1 reads 40 pages.
  • After 5 hours, Student 1 reads 50 pages.

Let's calculate the reading rates:

  1. Rate for 0 to 1 hour: 10 pages per hour (10 pages in 1 hour).
  2. Rate for 1 to 2 hours: 10 pages per hour (10 pages in 1 hour).
  3. Rate for 2 to 3 hours: 10 pages per hour (10 pages in 1 hour).
  4. Rate for 3 to 4 hours: 10 pages per hour (10 pages in 1 hour).
  5. Rate for 4 to 5 hours: 10 pages per hour (10 pages in 1 hour).

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

For Student 2 (from the table):

  • In 2 hours, Student 2 reads 30 pages, which is a rate of 15 pages per hour.
  • In 3 hours, Student 2 reads 45 pages, which is a rate of 15 pages per hour.
  • In 4 hours, Student 2 reads 60 pages, which is a rate of 15 pages per hour.

The average reading rate for Student 2 is consistently 15 pages per hour.

Comparison:

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

Calculating the difference: 15 pages per hour (Student 2) - 10 pages per hour (Student 1) = 5 pages per hour.

Therefore, the correct response is:

Student 2 reads faster than Student 1 by 5 pages per hour.