The per capita consumption (in pounds) of all poultry in a country is approximated by the function
C(x)=2.21x+99.18, 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
2011.
Question content area bottom
Part 1
a. Find and interpret C(
1).
C(
1)
=
101.39
101.39 (Type an integer or a decimal.)
Part 2
Now interpret C(
1).
The per capita consumption of poultry was
enter your response here
pounds in the year
enter your response here
.
Part 1:
To find C(1), we substitute x = 1 into the function C(x):
C(1) = 2.21(1) + 99.18
C(1) = 2.21 + 99.18
C(1) = 101.39
Part 2:
The interpretation of C(1) is as follows:
The per capita consumption of all poultry in the country in the year 2002 (since x represents the number of years since 2001) was approximately 101.39 pounds.
To estimate the per capita consumption of all poultry in the country in 2011, we need to find C(10), since 2011 is 10 years after 2001.
C(10) = 2.21(10) + 99.18
C(10) = 22.1 + 99.18
C(10) = 121.28
Therefore, the estimated per capita consumption of all poultry in the country in 2011 was approximately 121.28 pounds.