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.

Question

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 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.

Answer 1

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

Reading Rate for Student 1 (from graph):

• The graph shows a straight line indicating a constant reading rate.
• From the points plotted, we see that:
  • At 0 hours: 0 pages
  • 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 reading rate can be calculated as:

• From 0 to 5 hours, Student 1 reads 50 pages.

Rate per hour = \(\frac{50 \text{ pages}}{5 \text{ hours}} = 10 \text{ pages per hour}\).

Reading Rate for Student 2 (from table): Using the data from the table:

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

To find the reading rate for Student 2, we can calculate how many pages are read per hour between the time intervals:

1. From 2 hours to 3 hours:

   • Pages read = \(45 - 30 = 15\) pages in 1 hour → 15 pages/hour.

2. From 3 hours to 4 hours:

   • Pages read = \(60 - 45 = 15\) pages in 1 hour → 15 pages/hour.

3. Therefore, the reading rate for Student 2 is 15 pages per hour.

Comparing the rates:

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

Now, we can conclude:

• Student 2 reads faster than Student 1 by \(15 - 10 = 5\) pages per hour.

So, the answer is:

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