The per capita consumption​ (in pounds) of all poultry in a country is approximated by the function C(x) = 2.02x + 96.18​, where x is the number of years since 2001. Find and interpret C(4), and estimate the per capita consumption of all poultry in the country in 2009.

Question

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Part 1
a. Find and interpret ​C(4​).
​C(​4)

Answer 1

To find C(4), we simply substitute 4 into the function:

C(4) = 2.02(4) + 96.18
C(4) = 8.08 + 96.18
C(4) = 104.26

Interpretation: C(4) represents the per capita consumption of all poultry in the country 4 years after 2001. In this case, C(4) is equal to 104.26 pounds. This means that the per capita consumption of all poultry in the country, 4 years after 2001, is approximately 104.26 pounds.

Answer 2

give me the direct year

Answer 3

To find the direct year corresponding to C(4), we need to add 4 years to 2001:

2001 + 4 = 2005

Therefore, C(4) represents the per capita consumption of all poultry in the country in the year 2005.

Answer 4

The per capita consumption in 2009 will be
  

Answer 5

To estimate the per capita consumption of all poultry in the year 2009, we need to find C(x) when x = 2009 - 2001 = 8.

C(8) = 2.02(8) + 96.18
C(8) = 16.16 + 96.18
C(8) = 112.34

Therefore, the estimated per capita consumption of all poultry in the country in the year 2009 is approximately 112.34 pounds.