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.

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 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.
Student 2 reads faster than Student 1 by 15 pages per hour.

Student 1 reads faster than Student 1 by 5 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.

Student 1 (from the graph):

• At 2 hours, Student 1 reads 20 pages.
• At 3 hours, Student 1 reads 30 pages.
• At 4 hours, Student 1 reads 40 pages.
• At 5 hours, Student 1 reads 50 pages.

To find the reading rate for Student 1, we can divide the number of pages read by the hours studied:

• From 0 to 1 hour: 10 pages / 1 hour = 10 pages/hour
• From 1 to 2 hours: 10 pages / 1 hour = 10 pages/hour
• From 2 to 3 hours: 10 pages / 1 hour = 10 pages/hour
• From 3 to 4 hours: 10 pages / 1 hour = 10 pages/hour
• From 4 to 5 hours: 10 pages / 1 hour = 10 pages/hour

Thus, Student 1 has a consistent reading rate of 10 pages per hour.

Student 2 (from the table):

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

Calculating the reading rates for Student 2:

• From 2 to 3 hours: (45 pages - 30 pages) / 1 hour = 15 pages/hour
• From 3 to 4 hours: (60 pages - 45 pages) / 1 hour = 15 pages/hour

The average reading rate for Student 2 over the time interval from 2 hours to 4 hours is 15 pages per hour.

Comparison:

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

Student 2 reads faster than Student 1 by: 15 pages/hour - 10 pages/hour = 5 pages/hour.

Thus, the answer is: Student 2 reads faster than Student 1 by 5 pages per hour.