The per capita consumption (in pounds) of all poultry in a country is approximated by the function Cox)=2.74x+92.18, where x is the number of years since 2001. Find and interpret C(2), and estimate the per capita consumption of all poultry in the country in 2012
a. Find and interpret C(2).
C(2)= 97.66 (Type an integer or a decimal.)
Now interpret C(2).
The per capita consumption of poultry was 97.66 pounds in the year 2003.
b. Estimate the per capita consumption of all poultry in the country in 2012.
The per capita consumption in 2012 will be __ pounds.
(Type an integer or a decimal.)
To estimate the per capita consumption of all poultry in the country in 2012, we need to find the value of C(x) when x is 11 (11 years since 2001).
So, C(11) = 2.74(11) + 92.18 = 30.14 + 92.18 = 122.32 pounds.
Therefore, the per capita consumption of all poultry in the country in 2012 is estimated to be 122.32 pounds.
To estimate the per capita consumption of all poultry in the country in 2012, we need to substitute the value of x=11 (2012 is 11 years since 2001) into the function C(x)=2.74x+92.18:
C(11) = 2.74(11) + 92.18
C(11) = 30.14 + 92.18
C(11) = 122.32
Therefore, the estimated per capita consumption of all poultry in the country in 2012 is 122.32 pounds.
To estimate the per capita consumption of all poultry in the country in 2012, we need to find C(11), where x represents the number of years since 2001.
Plugging in x = 11 into the given function C(x) = 2.74x + 92.18, we get:
C(11) = 2.74(11) + 92.18
C(11) = 30.14 + 92.18
C(11) ≈ 122.32
Therefore, the estimated per capita consumption of all poultry in the country in 2012 is approximately 122.32 pounds.
Please note that this is only an estimate based on the provided function, and actual data for the per capita consumption of all poultry in the country in 2012 may vary.