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Mathematics, 31.08.2020 20:01 doodndns4484

Kate is a hard-working college sophomore. One Thursday, she decides to work nonstop until she has answered 250 practice problems for her economics 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 100 10:00 AM 175 11:00 AM 225 Noon 250 Use the table to answer the following questions. The marginal, or additional, gain from Kate’s second hour of work, from 9:00 AM to 10:00 AM, is problems. The marginal gain from Kate’s fourth hour of work, from 11:00 AM to noon, is problems. Later, the teaching assistant in Kate’s economics course gives her some advice. “Based on past experience,” the teaching assistant says, “working on 87.5 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? 1 hour working on problems, 3 hours reading 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading

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