Question

The per capita consumption​ (in pounds) of all poultry in a country is approximated by the function C (x) = 2.69x + 92.18, 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.

a. Find and interpret ​C (3).

C (3) = [ ]

Answer 1

The per capita consumption of poultry was [ ] pounds in the year
  

Answer 2

is that correct?

Answer 3

To find C(3), we substitute x = 3 into the given function:

C(3) = 2.69(3) + 92.18
C(3) = 8.07 + 92.18
C(3) = 100.25

The interpretation of C(3) is that in the year 2004 (3 years since 2001), the per capita consumption of all poultry in the country is approximately 100.25 pounds.

Answer 4

To find the per capita consumption of poultry in the year 2008, we need to find C(x) when x is the number of years since 2001 equal to 7 (2008 - 2001 = 7).

C(7) = 2.69(7) + 92.18
C(7) = 18.83 + 92.18
C(7) = 111.01

Therefore, the per capita consumption of all poultry in the country in the year 2008 is estimated to be approximately 111.01 pounds.

Answer 5

Apologies for the mistake in the calculation. Let's correct the calculation.

To find the per capita consumption of poultry in the year 2008 (7 years since 2001), we need to find C(x) when x = 7.

C(7) = 2.69(7) + 92.18
C(7) = 18.83 + 92.18
C(7) = 111.01

The per capita consumption of all poultry in the country in the year 2008 is estimated to be approximately 111.01 pounds.