The problem states that the function $P(s) = 3s$ gives the perimeter of an equilateral triangle with side length $s$. We are asked to determine the possible values for $s$. Since the side length of a triangle must be a positive value, we need to determine which of the given options makes sense.

1. Problem Description

The problem states that the function $P(s) = 3s$ gives the perimeter of an equilateral triangle with side length $s$. We are asked to determine the possible values for $s$. Since the side length of a triangle must be a positive value, we need to determine which of the given options makes sense.

2. Solution Steps

The perimeter of an equilateral triangle with side length $s$ is given by $P = s + s + s = 3s$. Since $s$ represents the side length of a triangle, it must be a positive number.

Option A: Not shown in the image.

Option B: -2 and

2. Since $s$ must be positive, -2 is not a possible value. Also, if $s=2$, $P(2) = 3(2) = 6$. $s$ cannot be negative, so this option is invalid.

Option C:

1

6. If $s=16$, then $P(16) = 3(16) = 48$. The side length is $s=16$.

Option D: None. Since option C contains a valid side length for the equilateral triangle, this option is incorrect.

The values of $s$ can be any positive number. Since we are looking for a value of $s$, the answer should be a positive number.

3. Final Answer

C. 16