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Meat Consumption The U.S. per capita consumption (in pounds) of beef, pork, and chicken for 2000 and 2012 is given in the following table. Assume that the changes in consump- tion are approximately linear. Source: U.S. Department of Agriculture. 2000 2012 Beef 64.5 54.5 Pork 47.8 42.6 Chicken 54.2 56.6 (a) Determine three linear functions, b(t), p(t), and c(t), which approximate the pounds of beef, pork, and chicken, respectively, consumed for time t, where t is the number of years since 2000. (b) Describe the rates at which the consumption of each type of meat is changing. (c) In what year did the consumption of chicken surpass the consumption of beef? (d) If these trends were to continue, approximate the con- sumption of each type of meat in 2015.

Meat Consumption The U.S. per capita consumption (in pounds) of beef, pork, and chicken for 2000 and 2012 is given in the following table. Assume that the changes in consump- tion are approximately linear. Source: U.S. Department of Agriculture. 2000 2012 Beef 64.5 54.5 Pork 47.8 42.6 Chicken 54.2 56.6 (a) Determine three linear functions, b(t), p(t), and c(t), which approximate the pounds of beef, pork, and chicken, respectively, consumed for time t, where t is the number of years since 2000. (b) Describe the rates at which the consumption of each type of meat is changing. (c) In what year did the consumption of chicken surpass the consumption of beef? (d) If these trends were to continue, approximate the con- sumption of each type of meat in 2015.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Meat Consumption The U.S. per capita consumption (in pounds) of beef, pork, and chicken for 2000 and 2012 is given in the following table. Assume that the changes in consump- tion are approximately linear. Source: U.S. Department of Agriculture. 2000 2012 Beef 64.5 54.5 Pork 47.8 42.6 Chicken 54.2 56.6 (a) Determine three linear functions, b(t), p(t), and c(t), which approximate the pounds of beef, pork, and chicken, respectively, consumed for time t, where t is the number of years since 2000. (b) Describe the rates at which the consumption of each type of meat is changing. (c) In what year did the consumption of chicken surpass the consumption of beef? (d) If these trends were to continue, approximate the con- sumption of each type of meat in 2015.
Transcribed Image Text:Meat Consumption The U.S. per capita consumption (in pounds) of beef, pork, and chicken for 2000 and 2012 is given in the following table. Assume that the changes in consump- tion are approximately linear. Source: U.S. Department of Agriculture. 2000 2012 Beef 64.5 54.5 Pork 47.8 42.6 Chicken 54.2 56.6 (a) Determine three linear functions, b(t), p(t), and c(t), which approximate the pounds of beef, pork, and chicken, respectively, consumed for time t, where t is the number of years since 2000. (b) Describe the rates at which the consumption of each type of meat is changing. (c) In what year did the consumption of chicken surpass the consumption of beef? (d) If these trends were to continue, approximate the con- sumption of each type of meat in 2015.
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