Hilary is a hard-working college senior. one saturday, she decides to work nonstop until she has answered 100 practice problems for her math course. she starts work at 8: 00 am and uses a table to keep track of her progress throughout the day. she notices that as she gets tired, it takes her 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 hilary’s first hour of work, from 8: 00 am to 9: 00 am, isproblems.
the marginal gain from hilary’s third hour of work, from 10: 00 am to 11: 00 am, isproblems.
later, the teaching assistant in hilary’s math course gives her some advice. "based on past experience," the teaching assistant says, "working on 35 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 her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems, and how many should she 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
3 hours working on problems, 1 hour reading
Answers: 1
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