Ask a New Question
Menu

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.

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

1 answer

To determine which student reads faster, we can calculate the reading rates for both students.

Student 1 (from the graph):

  • At 0 hours, pages = 0
  • At 1 hour, pages = 10
  • At 2 hours, pages = 20
  • At 3 hours, pages = 30
  • At 4 hours, pages = 40
  • At 5 hours, pages = 50

The data shows that Student 1's reading rate is consistent. After 5 hours, they read 50 pages:

  • Reading rate = 50 pages / 5 hours = 10 pages per hour.

Student 2 (from the table):

  • At 2 hours, pages = 30
  • At 3 hours, pages = 45
  • At 4 hours, pages = 60

To calculate the reading rates:

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

The data shows that Student 2’s reading rate averages out to 15 pages per hour.

Comparison:

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

Therefore, 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.