Final answer:
New York served as the base for British operations for the majority of the American Revolutionary War after the British took control of New York City and its vital port in 1776.
Step-by-step explanation:
The question pertains to the city that served as the headquarters for British operations during most of the American Revolutionary War. The correct answer is B. New York. After the British evacuated Boston in March 1776, they captured New York City and its vital port. New York then became the main base of operations for the British army for the duration of the war, providing a strategically advantageous position from which they could launch military campaigns and maintain control over the American colonies.