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?

(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 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 2 by 10 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.

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

Answer 1

To compare the reading rates of Student 1 and Student 2, we first need to determine the reading rates for both students.

For Student 1 (from the graph):

• At 2 hours, reads 20 pages.
• At 3 hours, reads 30 pages.
• At 4 hours, reads 40 pages.
• At 5 hours, reads 50 pages.

We can calculate the reading rate as follows:

1. From 2 to 3 hours, the student reads: \[ 30 \text{ pages} - 20 \text{ pages} = 10 \text{ pages in 1 hour} \]

2. From 3 to 4 hours, she reads: \[ 40 \text{ pages} - 30 \text{ pages} = 10 \text{ pages in 1 hour} \]

3. From 4 to 5 hours, she reads: \[ 50 \text{ pages} - 40 \text{ pages} = 10 \text{ pages in 1 hour} \]

So, Student 1 reads at a rate of \(10 \text{ pages per hour}\).

For Student 2 (from the table):

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

The reading rates are calculated as follows:

1. From 2 to 3 hours, the student reads: \[ 45 \text{ pages} - 30 \text{ pages} = 15 \text{ pages in 1 hour} \]

2. From 3 to 4 hours, she reads: \[ 60 \text{ pages} - 45 \text{ pages} = 15 \text{ pages in 1 hour} \]

So, Student 2 reads at a rate of \(15 \text{ pages per hour}\).

Comparison:

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

Now, to find out who reads faster and by how much: \[ 15 \text{ pages per hour (Student 2)} - 10 \text{ pages per hour (Student 1)} = 5 \text{ pages per hour} \]

Thus, 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.