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

1 answer

To determine which student reads faster and by how much, we can calculate the reading rates (pages per hour) for both students.

For Student 1 (from the graph):

  • From the graph:
    • 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

The rates can be calculated as follows:

  • From 0 to 1 hour: 10 pages / 1 hour = 10 pages/hour
  • From 1 to 2 hours: 20 pages / 1 hour = 10 pages/hour
  • From 2 to 3 hours: 30 pages / 1 hour = 10 pages/hour
  • From 3 to 4 hours: 40 pages / 1 hour = 10 pages/hour
  • From 4 to 5 hours: 50 pages / 1 hour = 10 pages/hour

Overall, Student 1 reads at a consistent rate of 10 pages per hour.

For Student 2 (from the table):

  • From the table:
    • At 2 hours: 30 pages
    • At 3 hours: 45 pages
    • At 4 hours: 60 pages

The rates can be calculated as:

  • From 2 to 3 hours: (45 - 30) pages / (3 - 2) hours = 15 pages/hour
  • From 3 to 4 hours: (60 - 45) pages / (4 - 3) hours = 15 pages/hour

Overall, Student 2 reads at a rate of 15 pages per hour.

Comparison:

  • Student 1: 10 pages/hour
  • Student 2: 15 pages/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.