Given:
The average number of acres per farm after x years from 2000 is given by,
[tex]A(x)=\frac{2078x-94458}{13x-2164}[/tex]
Explanation:
a) To find: The average number of acres per farm in 2005
Substituting x = 5 in the given function we get,
[tex]\begin{gathered} A(5)=\frac{2078(5)-94458}{13(5)-2164} \\ A(5)=40.05 \end{gathered}[/tex]
The average number of acres per farm in 2005 is 40.05.
b) To find: The average number of acres per farm in 2012
Substituting x = 12 in the given function we get,
[tex]\begin{gathered} A(12)=\frac{2078(12)-94458}{13(12)-2164} \\ A(12)=34.62 \end{gathered}[/tex]
The average number of acres per farm in 2012 is 34.62.
c) To find: The zeros
Let the average function equal zero.
[tex]\begin{gathered} \frac{2078x-94458}{13x-2164}=0 \\ 2078x-94458=0 \\ 2078x=94458 \\ x=\frac{94458}{2078} \\ x=45.46 \end{gathered}[/tex]
Hence, the zero of the function is 45.46.
Yes, The average number of acres per farm after 45.46 years from 2000 is zero.
That is, there is no land to make forms.
