Final answer:
The pons is the correct answer as it acts as the relay station for information transfer between the cerebrum and cerebellum, coordinating breathing control with other brain areas.
Step-by-step explanation:
The pons serves as the relay station for the transfer of information between the cerebrum and the cerebellum, and it also coordinates breathing control with other areas of the brain. This region of the brainstem is essential for various autonomic functions and is deeply involved in regulating respiratory functions, as well as serving as the main connection between the cerebellum and the upper parts of the brain. Clusters of cells in the pons and medulla of the brain stem are the respiratory centers of the brain that control involuntary breathing muscles. Therefore, the correct answer to your question is B. Pons.