Final answer:
A student reading 56 pages in 4 hours implies a rate of 14 pages per hour. Therefore, in 7 hours, the student will read 98 pages, making it unlikely for the professor to need to read more than 1,050 pages.
Step-by-step explanation:
If a student reads 56 pages in 4 hours, to determine how many pages the student will read in 7 hours, we can establish the rate of pages per hour and then use that rate to extrapolate to 7 hours. To find the rate, divide 56 pages by 4 hours, resulting in 14 pages per hour. Now, multiply this rate by 7 hours to find how many pages the student can read in that duration:
- Rate = 56 pages / 4 hours = 14 pages per hour
- Total pages in 7 hours = 14 pages/hour * 7 hours = 98 pages
Given that a student can read 98 pages in 7 hours, it is unlikely the professor will need to read more than 1,050 pages unless the reading rate significantly increases or there are additional reading sessions beyond these 7 hours.