Compare Proportional Relationships Quick Check

Question

4 of 54 of 5 Items

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

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

Answer 1

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

Student 1 (from the graph):

• The points provided indicate that for every hour, Student 1 reads 10 pages.
• Thus, the reading rate for Student 1 is:
  • Rate = Pages/Hours
  • For 1 hour: 10 pages/hour
  • For 2 hours: 20 pages/hour
  • For 3 hours: 30 pages/hour
  • For 4 hours: 40 pages/hour
  • For 5 hours: 50 pages/hour

So, the reading rate for Student 1 is consistently 10 pages per hour.

Student 2 (from the table):

• At 2 hours, Student 2 reads 30 pages:
  • Rate = 30 pages / 2 hours = 15 pages per hour
• At 3 hours, Student 2 reads 45 pages:
  • Rate = 45 pages / 3 hours = 15 pages per hour
• At 4 hours, Student 2 reads 60 pages:
  • Rate = 60 pages / 4 hours = 15 pages per hour

So, the reading rate for Student 2 is consistently 15 pages per hour.

Now, comparing both rates:

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

Student 2 reads 15 - 10 = 5 pages per hour faster than Student 1.

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