The per capita consumption​ (in pounds) of all poultry in a country is approximated by the function C(x) = 2.15x + 93.16​, where x is the number of years since 2001. Find and interpret C(5), and estimate the per capita consumption of all poultry in the country in 2011

Question

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Part 1
a. Find and interpret ​C(5​).
​C(5​) =
  

Answer 1

To find C(5), we substitute x = 5 into the function C(x).

C(5) = 2.15 * 5 + 93.16
C(5) = 10.75 + 93.16
C(5) = 103.91

Interpretation: C(5) is the per capita consumption of all poultry in the country 5 years since 2001. In this case, it represents the per capita consumption of all poultry in the country in the year 2006.

Part 2:
To estimate the per capita consumption of all poultry in the country in 2011, we need to find the value of C(x) for x = 2011 - 2001 = 10.

C(10) = 2.15 * 10 + 93.16
C(10) = 21.50 + 93.16
C(10) = 114.66

Therefore, the estimated per capita consumption of all poultry in the country in 2011 is approximately 114.66 pounds.