Final answer:
The Vagus nerve is responsible for innervating the throat area and the heart, distinguishing it from the glossopharyngeal and accessory nerves which serve different functions.
Step-by-step explanation:
The cranial nerve that innervates the throat area and the heart is the Vagus nerve (b). The glossopharyngeal nerve, while involved in taste and salivation in the anterior oral cavity, and in eliciting the gag reflex, does not play a direct role in heart innervation. The accessory nerve, also known as the spinal accessory nerve, controls the muscles in the neck but does not innervate the heart or throat area. Thus, the correct answer for innervation of the throat and the heart is the Vagus nerve.