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Hilary is a hard-working second-year university student. One Saturday, she decides to work nonstop until she has answered 150 practice problems for her physics 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. 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, is problemsi The marginai gain from Hilary's third hour of work, from 10:00 AM to $11:00AM$, is problems. Later, the teaching assistant in Hilary's physics course gives her some advice. "Based on past experience," the teaching assistant says, "working on 52.5 problems raises a student's exam score by about the same amount as reading the textbook for one hour." For simplicity, assume students always cover the same number of pages during each bour they spend reading. Given this information, in order to use her four hours of study time to get the best exam score possiole, how many hours should she have spent working on problems, and how many should she have spent reading?
Use the table to answer the following questions. The marginal, or additional, gain from Hitary's first hour of work, from 8:00 AM to 9:00 AM, is problems. The marginal gain from Hilary's third hour of work, from 10:00 AM to $11:00AM$, is problems. Later, the teaching assistant in Hilary's physics course gives her some advice. "Based on past expericnce," the teaching assistant says, "working on 52.5 problems ralses a student's exam score by about the same ameunt as reoding the textbook for one 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 four 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? Four hours working on problems, zero hours reading One hour working on problems, three hours reading Three hours warking on problems, one hour reading Zero hours working on problems; four hours reading

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