Chapter 1 | Functions and Graphs
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110. [T] A professor asks her class to report the amount of time t they spent writing two assignments. Most students report that it takes them about 45 minutes to type a four- page assignment and about 1.5 hours to type a nine-page assignment. a. Find the linear function y = N ( t ) that models this situation, where N is the number of pages typed and t is the time in minutes. b. Use part a. to determine how many pages can be typed in 2 hours. c. Use part a. to determine how long it takes to type a 20-page assignment. 111. [T] The output (as a percent of total capacity) of nuclear power plants in the United States can be modeled by the function P ( t ) =1.8576 t +68.052, where t is time in years and t =0 corresponds to the beginning of 2000. Use the model to predict the percentage output in 2015. 112. [T] The admissions office at a public university estimates that 65% of the students offered admission to the class of 2019 will actually enroll. a. Find the linear function y = N ( x ), where N is the number of students that actually enroll and x is the number of all students offered admission to the class of 2019. b. If the university wants the 2019 freshman class size to be 1350, determine how many students should be admitted.
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