Compare Proportional Relationships Quick Check

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
4 600
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 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.
Student 2 reads faster than Student 1 by 5 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 2 by 10 pages per hour.

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

Two stores have their footballs on sale. Which store has the better buy? What is the cost for a football at Store 1 and Store 2?

(1 point)
Responses

Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.

Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.

Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.

Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.

Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.

To answer this question, we need to compare the reading rates of Student 1 and Student 2.

Looking at the graph, we can see that the reading rate for Student 1 increases by 10 pages for every hour. So, if we compare the points plotted on the graph, we can say that for every hour, Student 1 reads 10 more pages.

Now, let's look at the table for Student 2. From the table, we can see that for 2 hours of reading, Student 2 reads 30 pages. For 3 hours of reading, Student 2 reads 45 pages. And for 4 hours of reading, Student 2 reads 60 pages.

Comparing the reading rates, we can see that for every hour, Student 2 reads 15 more pages.

Therefore, the correct answer is:

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