Question

6. Based on data from the U.S. Department of Agriculture, the average number of acres per farm x years after 2000 can be approximated by the model below. (Round answers to 2 decimal places.) A(x) = (2078x-94458)/(13x-2164)Use the model to estimate the average number of acres per farm in 2005

Answer 1

Answer: 170.37 acres

Step-by-step explanation:

In 2005, x= 2005

Substituting x=2005 in the equation.

A(2005) = (2078x-94458)/(13x-2164)

A(2005) = 4071932/23901

A(2005) = 170.37 acres

Answer 2

Answer:

40.05 acres

Step-by-step explanation:

Let x = number of acres per farm x years after 2000.

In the year 2005, x = 2005 - 2000 = 5.

To estimate the average number of acres per farm in 2005, we have to replace the value x = 5 in the expression of A(x).

A(5) = (2078 . 5 - 94458) / (13 . 5 - 2164)

A(5) = (10390 - 94458) / (65 - 2164)

A(5) = (-84068) / (-2099)

A(5) = 40.05