Question

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)? a 23 < s < 46b 23 < s < 92c s ≥ 92d s ≥ 23

Answer 1

`s\geq 23`

Explanation:

We are given that a student needs to make a square cardboard piece.

Perimeter of cardboard should be equal to atleast 92 inches

We have to find that which shows reasonable domain for f(s)

Let s be the side of square cardboard

We know that perimeter of square =f(s=)
`4* side`

Then, perimeter of cardboard=
`4s`

`4s\geq 92`

Dividing by 4 on both sides

`s\geq 23`

Hence, the domain of function
`[23,\infty)`

Therefore, option d is true.

Answer:d:
`s\geq 23`