Question

The per capita consumption​ (in pounds) of all poultry in a country is approximated by the function ​C(x) = 2.08x + 97.18, where x is the number of years since 2001. Find and interpret C(5) and estimate the per capita consumption of all poultry in the country in 2009

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find C(5), we substitute x = 5 into the function C(x):

C(5) = 2.08(5) + 97.18
C(5) = 10.4 + 97.18
C(5) = 107.58

The interpretation of C(5) is that in the year 2006 (since 2001), the per capita consumption of all poultry in the country was approximately 107.58 pounds.

To estimate the per capita consumption of all poultry in the country in 2009, we need to find C(8), since 2009 is 8 years after 2001.

C(8) = 2.08(8) + 97.18
C(8) = 16.64 + 97.18
C(8) = 113.82

The estimated per capita consumption of all poultry in the country in 2009 is approximately 113.82 pounds.