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

Answer 1

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.