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

Answer:

$s\geq 23$

Step-by-step 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=)$4\times side$

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: $s\geq 23$