The per capita consumption (in pounds) of all poultry in a country is approximated by the function C(x) = 2.43x + 99.19, where x is the number of years since 2001. Find and interpret C(6) and estimate the per capita consumption of all poultry in the country in 2012
To find the per capita consumption of all poultry in the country in 2012, we need to substitute x = 11 into the function C(x).
C(6) = 2.43(6) + 99.19
C(6) = 14.58 + 99.19
C(6) = 113.77
The solution to C(6) is 113.77.
Interpretation: In the year 2007 (since 2001 + 6 years), the per capita consumption of all poultry in the country was approximately 113.77 pounds.
To estimate the per capita consumption of all poultry in the country in 2012, we need to substitute x = 11 into the function C(x).
C(11) = 2.43(11) + 99.19
C(11) = 26.73 + 99.19
C(11) = 125.92
The estimated per capita consumption of all poultry in the country in 2012 is approximately 125.92 pounds.