Teresa is a hard-working college junior. One Sunday, she decides to work nonstop
ID: 1132564 • Letter: T
Question
Teresa is a hard-working college junior. One Sunday, she decides to work nonstop until she has answered 100 practice problems for her chemistry 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 8:00 AM 9:00 AM 10:00 AM 11:00 AM Noon Total Problems Answered 70 90 100 Use the table to answer the following questions The marginal, or additional, gain from Teresa's second hour of work, from 9:00 AM to 10:00 AM, is problems. The marginal gain from Teresa's fourth hour of work, from 11:00 AM to noon, is problems Later, the teaching assistant in Teresa's chemistry 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? O 1 hour working on problems, 3 hours reading O 2 hours working on problems, 2 hours reading O 3 hours working on problems, 1 hour reading O 4 hours working on problems, 0 hours readingExplanation / Answer
Answer : 1) From 9:00 AM to 10:00 AM Teresa's additional or marginal gain to solve problems = At 10:00 AM the number of solving problems - At 9:00 AM the number of solving problems = 70 - 40 = 30 problems.
2) From 11:00 AM to Noon Teresa's marginal gain to solve problems = At noon the number of solving problems - At 11:00 AM the number of solving problems = 100 - 90 = 10 problems.
3) The correct option is A.
Because according to given informations, after solving 35 problems a student gets the same number as reading the pages of textbook in each hour. This means that after solving 35 problems a student should spent maximum study hour on reading to get best score in exam. Here Teresa spends total 4 hours on her study. As in first 1 hour she dones 40 problems, hence Teresa should spent first 1 hour of her study hours to solve problems. Left (4 hours - 1 hour) = 3 hours should spent on reading to get the best score in exam.
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