The correct answer is:
B. The marble released from a distance of 15 centimeters will have the most potential energy transferred into kinetic energy, causing the marble to travel the farthest.
Here's the rationale:
The potential energy stored in the slingshot is related to how far the sling is pulled back. The farther the sling is pulled (in this case, 15 centimeters compared to 10 and 5 centimeters), the more potential energy is stored. Upon release, this potential energy is converted into kinetic energy, propelling the marble forward. Therefore, the marble released from the greatest distance (15 centimeters) will most likely travel the farthest.