The per capita consumption (in pounds) of all poultry in a country is approximated by the function Upper C left parenthesis x right parenthesis equals 2.51 x plus 96.16
,
where x is the number of years since 2001. Find and interpret Upper C left parenthesis 5 right parenthesis comma
and estimate the per capita consumption of all poultry in the country in 2012.
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Part 1
a. Find and interpret C(5
).
C(5
)equalsenter your response here
(Type an integer or a decimal.)
To find \( C(5) \), we simply plug in x = 5 into the given function:
\( C(x) = 2.51x + 96.16 \)
So,
\( C(5) = 2.51(5) + 96.16 \)
\( C(5) = 12.55 + 96.16 \)
\( C(5) = 108.71 \)
Interpretation of \( C(5) \):
The value of \( C(5) \) represents the per capita consumption of poultry (in pounds) 5 years after 2001, which is in 2006. Therefore, in 2006, each person in the country, on average, consumed 108.71 pounds of poultry.
\( C(5) = 108.71 \)