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.

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.

Answer 1

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.**