Question

The per capita consumption​ (in pounds) of all poultry in a country is approximated by the function C (x) = 2.69x + 92.18, where x is the number of years since 2001. Find and interpret C (3), and estimate the per capita consumption of all poultry in the country in

2008.

a. Find and interpret ​C (3).

C (3) = [ ]

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find C(3), we substitute x = 3 into the given function:

C(3) = 2.69(3) + 92.18
C(3) = 8.07 + 92.18
C(3) = 100.25

The interpretation of C(3) is that in the year 2004 (3 years since 2001), the per capita consumption of all poultry in the country is approximately 100.25 pounds.

Answer 2

The per capita consumption of poultry was [ ] pounds in the year

  

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the per capita consumption of poultry in the year 2008, we need to find C(x) when x is the number of years since 2001 equal to 7 (2008 - 2001 = 7).

C(7) = 2.69(7) + 92.18
C(7) = 18.83 + 92.18
C(7) = 111.01

Therefore, the per capita consumption of all poultry in the country in the year 2008 is estimated to be approximately 111.01 pounds.

Answer 4

is that correct?

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake in the calculation. Let's correct the calculation.

To find the per capita consumption of poultry in the year 2008 (7 years since 2001), we need to find C(x) when x = 7.

C(7) = 2.69(7) + 92.18
C(7) = 18.83 + 92.18
C(7) = 111.01

The per capita consumption of all poultry in the country in the year 2008 is estimated to be approximately 111.01 pounds.

Answer 6

[AI-generated answer — Explain Bot]

To find C(3), we substitute the value of x, which is 3, into the function C(x).

C(3) = 2.69(3) + 92.18
C(3) = 8.07 + 92.18
C(3) = 100.25

So, C(3) = 100.25.

Interpretation: C(3) represents the per capita consumption of all poultry in the country after 3 years since 2001. In this case, it represents the per capita consumption in the year 2004. Therefore, the per capita consumption of all poultry in the country in 2004 is approximately 100.25 pounds.