You can type four pages in 50 minutes and nine pages in an hour and forty minutes. (a)

Chapter 1, Problem 1.4.47

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You can type four pages in 50 minutes and nine pages in an hour and forty minutes. (a) Find a linear function for the number of pages typed, p, as a function of time, t. If time is measured in minutes, what values of t make sense in this example? (b) How many pages can be typed in two hours? (c) Interpret the slope of the function in practical terms. (d) Use the result in part (a) to solve for time as a function of the number of pages typed. (e) How long does it take to type a 15-page paper? (f) Write a short paragraph explaining why it is useful to know both of the formulas obtained in part (a) and part (d).

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