Question

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.

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 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 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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Answer 1

To determine which student reads faster and by how much, we need to calculate the reading rates for both Student 1 and Student 2.

For Student 1 (from the graph):

• The graph shows that Student 1 reads 10 pages per hour (as inferred from the points connecting: for each hour, the number of pages increases by 10).
• Therefore, the reading rate for Student 1 is:
  • Rate = 10 pages/hour.

For Student 2 (from the table):

• We can calculate the reading rates from the table data:

  • From 2 to 3 hours:

    • Pages read = 45 - 30 = 15 pages
    • Time taken = 3 - 2 = 1 hour
    • Rate = 15 pages/hour.

  • From 3 to 4 hours:

    • Pages read = 60 - 45 = 15 pages
    • Time taken = 4 - 3 = 1 hour
    • Rate = 15 pages/hour.

So, the reading rate for Student 2 is also:

• Rate = 15 pages/hour.

Comparison:

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

Thus, Student 2 reads faster than Student 1 by:

• Difference = 15 pages/hour - 10 pages/hour = 5 pages/hour.

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