Question

I need help with this math problem all parts please

Answer 1

Given:

The average number of acres per farm after x years from 2000 is given by,

`A(x)=(2078x-94458)/(13x-2164)`

Step-by-step explanation:

a) To find: The average number of acres per farm in 2005

Substituting x = 5 in the given function we get,

`\begin{gathered} A(5)=(2078(5)-94458)/(13(5)-2164) \\ A(5)=40.05 \end{gathered}`

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,

`\begin{gathered} A(12)=(2078(12)-94458)/(13(12)-2164) \\ A(12)=34.62 \end{gathered}`

The average number of acres per farm in 2012 is 34.62.

c) To find: The zeros

Let the average function equal zero.

`\begin{gathered} (2078x-94458)/(13x-2164)=0 \\ 2078x-94458=0 \\ 2078x=94458 \\ x=(94458)/(2078) \\ x=45.46 \end{gathered}`

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.