Question

Ethan wants to build a porch with a length that is 6 less than three times its width and an area that is at least 200 square feet. Which inequality can be solved to find possible widths for Ethan's deck?

Answer 1

3w^2-6w≥200

Explanation:

Answer 2

`3y^(2) -6y\geq 200`

Explanation:

Let

x------> the length of the deck

y------> the width of the deck

we know that

The area of Ethan's deck is

`xy\geq 200` -----> inequality A

`x=3y-6` ----> equation B

substitute equation B in the inequality A

`(3y-6)y\geq 200`

`3y^(2) -6y\geq 200` ------> inequality that can be solved to find possible widths for Ethan's deck