The per capita consumption (in pounds) of all poultry in a country is approximated by the function C(x)=2.08x+93.19, where x is the number of years since 2001. Find and interpret C(3), and estimate the per capita consumption of all poultry in the country in 2008
To find and interpret C(3), we need to substitute x with 3 in the function C(x)=2.08x+93.19.
C(3) = 2.08(3) + 93.19
C(3) = 6.24 + 93.19
C(3) = 99.43
So, C(3) is approximately 99.43 pounds.
Now, to estimate the per capita consumption of all poultry in the country in 2008, we need to substitute x with 7 in the function C(x)=2.08x+93.19.
C(7) = 2.08(7) + 93.19
C(7) = 14.56 + 93.19
C(7) = 107.75
So, the estimated per capita consumption of all poultry in the country in 2008 is approximately 107.75 pounds.