Final answer:
It is true that "The Anacreontic Song" remained popular and was often used for new compositions, including becoming the melody for "The Star-Spangled Banner".
Step-by-step explanation:
The statement that "The Anacreontic Song" remained popular and was frequently used as the tune for new works is true. This tune, which originated from a well-known London gentlemen's club in the 18th century, later became famous for its use as the melody for "The Star-Spangled Banner", the national anthem of the United States. It illustrates how a melody can transcend its original context to gain new meanings and uses over time. In addition to its association with the U.S. national anthem, the tune has served as a foundation for various other works, demonstrating the enduring nature of the song.