Question

Now describe a situation involving area in square feet that can be modeled using the function g(x) = 2x2 − 13x + 6 so that it relates to last situation you came up with.

Answer 1

Answer:

$Length = 2x - 1$

$Width = x - 6$

Step-by-step explanation:

Given

$g(x) = 2x^2 - 13x + 6$

Required

Model as the area

$g(x) = 2x^2 - 13x + 6$

Expand:

$g(x) = 2x^2 - 12x -x+ 6$

Factorize:

$g(x) = 2x(x - 6) -1(x- 6)$

$g(x) = (2x - 1) (x- 6)$

Area is calculated as:

$Area = Length * Width$

So, by comparison:

$Length = 2x - 1$

$Width = x - 6$