Per capita coffee consumption in the U.S. fluctuates over time but is greater here than anywhere else in the world. The number of cups f(x) consumed per adult per day in a given year x, with the year 1955 corresponding to x= 0, is given by the mathematical model f(x)=2.77+0.0848x–0.00832x² +0.000144x³ . a. Use methods of calculus to determine the year in which coffee consumption was least during the period from 1955 to 1994. b. Use methods of calculus to determine the year in which coffee consumption was the greatest during the same period. What was the daily coffee consumption per adult in the U.S. at that time? c. Use the methods of calculus to determine the year in which coffee consumption was decreasing at the greatest rate (during the same time period).

Per capita coffee consumption in the U.S. fluctuates over time but is greater here than anywhere else in the world. The number of cups f(x) consumed per adult per day in a given year x, with the year 1955 corresponding to x= 0, is given by the mathematical model f(x)=2.77+0.0848x–0.00832x² +0.000144x³ . a. Use methods of calculus to determine the year in which coffee consumption was least during the period from 1955 to 1994. b. Use methods of calculus to determine the year in which coffee consumption was the greatest during the same period. What was the daily coffee consumption per adult in the U.S. at that time? c. Use the methods of calculus to determine the year in which coffee consumption was decreasing at the greatest rate (during the same time period).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.4: Writing And Graphing Equations Of Lines

Problem 104E: Applications Waste management The corrosive waste is industrial sewage limits the useful life of the...

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