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

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

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