Use the image and table to answer the question.

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?

Answer 1

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

For Student 1: From the graph, we can see that:

• In 0 hours, Student 1 reads 0 pages.
• In 1 hour, Student 1 reads 10 pages.
• In 2 hours, Student 1 reads 20 pages.
• In 3 hours, Student 1 reads 30 pages.
• In 4 hours, Student 1 reads 40 pages.
• In 5 hours, Student 1 reads 50 pages.

Thus, the reading rate for Student 1 is consistent:

• The rate is 10 pages per hour (from hour 1 to hour 5).

For Student 2: From the table, we can observe:

• In 2 hours, Student 2 reads 30 pages.
• In 3 hours, Student 2 reads 45 pages.
• In 4 hours, Student 2 reads 60 pages.

To find the reading rate for Student 2, we can calculate the reading rate based on the number of pages read over time:

• From 2 to 3 hours:

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

• From 3 to 4 hours:

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

In both segments of time, Student 2 reads at a consistent rate of 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.

Conclusion: Student 2 reads faster than Student 1. The difference in their reading rates is: 15 pages/hour - 10 pages/hour = 5 pages/hour.

Thus, Student 2 reads faster by 5 pages per hour.