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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

Respuesta :

dsdrajlin

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

ajeigbeibraheem

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.  A(x) = (2078x-94458)/(13x-2164). Using the model, the estimate of the average number of acres per farm in 2005 is 40.05.

The model is an algebraic equation that consists of arithmetic operations, variable (x) and numbers.

It can be better represented as:

[tex]\mathbf{A(x) = \dfrac{(2078x - 94458)}{(13x -2164)}}[/tex]

Given that:

  • the average number of acres per farm is x years after the year 2000
  • now, to determine the x years after 2005, we have:

  • x = 2005 - 2000
  • x = 5 years

SO, from the above-represented equation, wherever we see (x), we will replace it with the value of 5.

i.e.

[tex]\mathbf{A(5) = \dfrac{(2078(5) - 94458)}{(13(5) -2164)}}[/tex]

[tex]\mathbf{A(5) = \dfrac{(10390 - 94458)}{(65 -2164)}}[/tex]

[tex]\mathbf{A(5) = \dfrac{(-84068)}{(-2099)}}[/tex]

[tex]\mathbf{A(5) =40.05}[/tex]

Therefore using the model to estimate the average number of acres per farm in 2005, the average number of acres per farm is 40.05

Learn more about algebraic equations here:

https://brainly.com/question/953809?referrer=searchResults

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