Question

The per capita consumption (in pounds) of all poultry in a country is approximated by the function C(x) = 2.26x + 95.18, where x is the number of years since 2001. Find the interpretation of C(1) and estimate the per capita consumption of all poultry in the country in 2013.

Answer 1

The interpretation of C(1) is that the per capita consumption of all poultry in the country was approximately 97.44 pounds one year after 2001. The estimated per capita consumption of all poultry in the country in 2013 was approximately 121.42 pounds.

Step-by-step explanation:

The function C(x) = 2.26x + 95.18 represents the per capita consumption of all poultry in a country. To find the interpretation of C(1), substitute x=1 into the function. C(1) = 2.26(1) + 95.18 = 97.44 pounds. This means that the per capita consumption of all poultry in the country was approximately 97.44 pounds one year after 2001.

To estimate the per capita consumption of all poultry in the country in 2013, we need to find the value of C(x) when x=12 (since 2013 is 12 years after 2001). C(12) = 2.26(12) + 95.18 = 121.42 pounds. Therefore, the estimated per capita consumption of all poultry in the country in 2013 was approximately 121.42 pounds.