A psychologist conducts an experiment to determine the effect of sleep loss on job

Chapter 2, Problem 67

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A psychologist conducts an experiment to determine the effect of sleep loss on job performance. Let p = f(t) be the number of minutes it takes the average person to complete a particular task if he or she has lost t minutes of sleep, where t = 0 represents exactly 8 hours of sleep. For instance, f(60) is the amount of time it takes the average person to complete the task after sleeping for only 7 hours. Let p0 = f(0) and let t1, t2, and t3 be positive constants. Explain what the following statements tell you about sleep loss and job performance. (a) f(30) = p0 + 5 (b) f(t1)=2p0 (c) f(2t1)=1.5f(t1) (d) f(t2 + 60) = f(t2 + 30) + 10

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