The per capita consumption​ (in pounds) of all poultry in a country is approximated by the function ​C(x)=2.02x+93.18, where x is the number of years since 2001. Find and interpret C(1) and estimate the per capita consumption of all poultry in the country in 2012

Answer 1

To find C(1), we substitute x = 1 into the function C(x):

C(1) = 2.02(1) + 93.18 = 2.02 + 93.18 = 95.20

Interpretation: C(1) represents the per capita consumption of all poultry in the country 1 year after 2001. In this case, it is approximately 95.20 pounds.

To estimate the per capita consumption of all poultry in the country in 2012, we need to find the value of x when it is 2012. 2012 is 11 years after 2001:

x = 2012 - 2001 = 11

Now, substitute x = 11 into the function C(x):

C(11) = 2.02(11) + 93.18 = 22.22 + 93.18 = 115.40

Therefore, the estimate for the per capita consumption of all poultry in the country in 2012 is approximately 115.40 pounds.