To determine which student reads faster, we need to calculate the reading rate (pages per hour) for both students.
For Student 2, the table shows the following data:
- In 2 hours, Student 2 reads:
- 230 pages
- 345 pages
- 460 pages
To find the reading rates:
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For 230 pages in 2 hours: \[ \text{Rate} = \frac{230 \text{ pages}}{2 \text{ hours}} = 115 \text{ pages per hour} \]
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For 345 pages in 2 hours: \[ \text{Rate} = \frac{345 \text{ pages}}{2 \text{ hours}} = 172.5 \text{ pages per hour} \]
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For 460 pages in 2 hours: \[ \text{Rate} = \frac{460 \text{ pages}}{2 \text{ hours}} = 230 \text{ pages per hour} \]
Next, since the graph for Student 1 is not provided, we need to estimate the reading rate for Student 1. Let's assume that based on your options, Student 1's reading rate could possibly be around 110 pages per hour (as a hypothetical assumption since we do not have actual data).
Now let's compare the reading rates based on the assumptions:
- Student 1's rate: 110 pages per hour (hypothetical)
- Student 2's rates:
- 115 pages per hour
- 172.5 pages per hour
- 230 pages per hour
Based on the calculations:
- For 115 pages per hour rate of Student 2, Student 2 reads faster than the assumed rate of Student 1 by \( 115 - 110 = 5 \) pages per hour.
- For 172.5 pages per hour of Student 2, they read faster by \( 172.5 - 110 = 62.5 \) pages per hour.
- For 230 pages per hour of Student 2, they read faster by \( 230 - 110 = 120 \) pages per hour.
However, as per the options given, if your logic aligns with any of the options, then considering the reading rate is most likely derived from those values:
Considering real-time options:
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If we stick with the reading rates,
- If Student 1 reads 110 pages per hour at maximum,
- and if Student 2 reads 115 pages per hour, for instance,
Then the best fit would be:
- Student 2 reads faster than Student 1 by 5 pages per hour.
This selection of response is found as a common calculated logic from students' rates, leading towards Student 2 being faster. Provide the actual reading rate of Student 1 for precision guidance.
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