Final answer:
The situation that represents a total change in value of 0 is when a player in a board game moves 5 spaces forward and then 5 spaces backward, because the displacements cancel each other out.
Step-by-step explanation:
The question asks which situation represents a total change in value of 0. The concept in question is displacement, which is the change in the position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. To find the total displacement, we must consider both the distance moved and the direction of movement.
In Option A, a player moves 5 spaces forward and then 2 spaces backward. Here, the displacement is not zero because the player will still be 3 spaces ahead of the starting position. So, the total change in value (displacement) is not 0.
However, in Option B, the player moves 5 spaces forward and then 5 spaces backward. The forward movement can be considered as a positive displacement (+5), and the backward movement as a negative displacement (-5). These two movements will cancel each other out, leaving the player back at the starting position and resulting in a total displacement of 0.
Therefore, the correct answer is Option B: In a board game, a player moves 5 spaces forward, then 5 spaces backward, resulting in a total change in value of 0.