Reading Rate for Student 1

Question

Pages y hours x
1(1,10)
2(2,20)
3(3,30)
4(4,40)
5(5,50)

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)

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 2 reads faster than Student 1 by 5 pages per hour

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

Answer 1

To determine which student reads faster, we need to calculate the reading rate (pages per hour) for both students.

For Student 1: The data points indicate that for each hour spent reading, the number of pages read is as follows:

• 1 hour: 10 pages
• 2 hours: 20 pages
• 3 hours: 30 pages
• 4 hours: 40 pages
• 5 hours: 50 pages

To find the reading rate, we can consider the page count per hour, which appears to be consistent:

• For Student 1, the reading rate = \(\frac{10 \text{ pages}}{1 \text{ hour}} = 10 \text{ pages/hour}\)

For Student 2: The data is as follows:

• 2 hours: 30 pages
• 3 hours: 45 pages
• 4 hours: 60 pages

We calculate the reading rates for Student 2:

1. For 2 hours:

   • \(\frac{30 \text{ pages}}{2 \text{ hours}} = 15 \text{ pages/hour}\)

2. For 3 hours:

   • \(\frac{45 \text{ pages}}{3 \text{ hours}} = 15 \text{ pages/hour}\)

3. For 4 hours:

   • \(\frac{60 \text{ pages}}{4 \text{ hours}} = 15 \text{ pages/hour}\)

Thus, Student 2 has a reading rate of 15 pages per hour.

Comparison:

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

Now, we can find the difference between their reading rates:

• Difference = 15 pages/hour - 10 pages/hour = 5 pages/hour

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

The correct answer is: Student 2 reads faster than Student 1 by 5 pages per hour.