Raphael is a hard-working college junior. One Tuesday, he decides to work nonstop until he has answered 100 practice problems for his math course. He starts work at 8:00 AM and uses a table to keep track of his progress throughout the day. He notices that as he gets tired, it takes him longer to solve each problem.   Time Total Problems Answered 8:00 AM 0 9:00 AM 40 10:00 AM 70 11:00 AM 90 Noon 100   Use the table to answer the following questions.

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Raphael is a hard-working college junior. One Tuesday, he decides to work nonstop until he has answered 100 practice problems for his math course. He starts work at 8:00 AM and uses a table to keep track of his progress throughout the day. He notices that as he gets tired, it takes him longer to solve each problem.
 
Time
Total Problems Answered
8:00 AM 0
9:00 AM 40
10:00 AM 70
11:00 AM 90
Noon 100
 
Use the table to answer the following questions.
 
The marginal, or additional, gain from Raphael’s first hour of work, from 8:00 AM to 9:00 AM, is _____ problems.
 
The marginal gain from Raphael’s third hour of work, from 10:00 AM to 11:00 AM, is _____ problems.
 
Later, the teaching assistant in Raphael’s math course gives him some advice. “Based on past experience,” the teaching assistant says, “working on 25 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour.” For simplicity, assume students always cover the same number of pages during each hour they spend reading.
 
Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading?
a. 0 hours working on problems, 4 hours reading
b. 1 hour working on problems, 3 hours reading
c. 2 hours working on problems, 2 hours readingd.
d. 4 hours working on problems, 0 hours reading
Later, the teaching assistant in Raphael's math course gives him some advice. "Based on past experience," the teaching assistant says, "working on 25
problems raises a student's exam score by about the same amount as reading the textbook for 1 hour." For simplicity, assume students always cover
the same number of pages during each hour they spend reading.
Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working
on problems, and how many should he have spent reading?
0 hours working on problems, 4 hours reading
1 hour working on problems, 3 hours reading
2 hours working on problems, 2 hours reading
4 hours working on problems, 0 hours reading
Transcribed Image Text:Later, the teaching assistant in Raphael's math course gives him some advice. "Based on past experience," the teaching assistant says, "working on 25 problems raises a student's exam score by about the same amount as reading the textbook for 1 hour." For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading? 0 hours working on problems, 4 hours reading 1 hour working on problems, 3 hours reading 2 hours working on problems, 2 hours reading 4 hours working on problems, 0 hours reading
Raphael is a hard-working college junior. One Tuesday, he decides to work nonstop until he has answered 100 practice problems for his math course.
He starts work at 8:00 AM and uses a table to keep track of his progress throughout the day. He notices that as he gets tired, it takes him longer to
solve each problem.
Time
8:00 AM
9:00 AM
10:00 AM
11:00 AM
Noon
Total Problems Answered
0
40
70
90
100
Use the table to answer the following questions.
The marginal, or additional, gain from Raphael's first hour of work, from 8:00 AM to 9:00 AM, is
The marginal gain from Raphael's third hour of work, from 10:00 AM to 11:00 AM, is
problems.
problems.
Transcribed Image Text:Raphael is a hard-working college junior. One Tuesday, he decides to work nonstop until he has answered 100 practice problems for his math course. He starts work at 8:00 AM and uses a table to keep track of his progress throughout the day. He notices that as he gets tired, it takes him longer to solve each problem. Time 8:00 AM 9:00 AM 10:00 AM 11:00 AM Noon Total Problems Answered 0 40 70 90 100 Use the table to answer the following questions. The marginal, or additional, gain from Raphael's first hour of work, from 8:00 AM to 9:00 AM, is The marginal gain from Raphael's third hour of work, from 10:00 AM to 11:00 AM, is problems. problems.
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