Final answer:
The Sympathetic Nervous System (SNS) is responsible for the elevated heart rate when encountering a bear, as it activates the body's 'fight or flight' response.
Step-by-step explanation:
If you stumbled across a grumpy bear during a walk in the woods and experienced an elevated heart rate, the division of the nervous system that would be most directly involved is the Sympathetic Nervous System (SNS). The SNS is responsible for the 'fight or flight' response during stressful situations. When activated, it prepares the body to either confront or flee from a threat.
This activation results in physiological changes such as an accelerated heart rate, increased sweating, dilation of pupils, and heightened muscle readiness, essentially preparing you for rapid action.