Final answer:
The British were prompted to negotiate the end of the Revolutionary War due to the crushing defeat at Yorktown, the global strain on their resources, and the stalemate that the war had become. Therefore, the correct option is A.
Step-by-step explanation:
The British decided to negotiate an end to the Revolutionary War for several reasons. The British defeat at Yorktown was a critical blow to their military efforts, leading the Parliament of Great Britain to vote for an end to military operations and to begin peace negotiations. Additionally, there was immense strain on British resources due to conflicts not only in the American Revolution but with other nations such as France, Spain, and the Dutch. The culmination of these issues led to the signing of the Treaty of Paris in 1783, which officially recognized the independence of the original 13 colonies and ended the Revolutionary War.
The British were also motivated by the broader context of global conflicts and the need to reallocate military resources. Moreover, the war had become a stalemate, with neither side able to secure a definitive advantage, thus making a strategic withdrawal and negotiation a more appealing option for the British.