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 < 46

b 23 < s < 92

c s ≥ 92

d s ≥ 23

Answer 1

Answer: d. s ≥ 23

Explanation:

Let s be the side of the square.

We know that the perimeter of a square =4s

Let f(s)=4s

If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like

`4s\geq 92`

Divide both sides by 4, we get

`s\geq(92)/(4)\\\Rightarrow\ s\geq23`

Thus, d. is the right answer. The reasonable domain of f(s) is
`s\geq23`