Question

Plss help asap!

A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The function f(s) relates the perimeter of a cardboard piece, in inches, to the length of its side in inches. Which of the following shows a reasonable domain for f(s)
99 PTS

Answer 1

The reasonable domain of f(s) is
`s\geq23`.

Explanation:

Consider the provided information.

A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches.

Let s is the side of the square.

The perimeter of a square can be calculated as: f(s) = 4(side) = 4s

The cardboard should have a perimeter equal to at least 92 inches.

Here the perimeter equal to at least 92 inches. That means the perimeter can be greater than or equal to 92 inches.

For greater than or equal to we use the inequality "≥".

Thus, the inequality can be

`4s\geq 92`

Now divide both the side by 4.

`(4s)/(4)\geq (92)/(4)`

`s\geq 23`

Hence, the reasonable domain of f(s) is
`s\geq23`.