Final answer:
Popular songs favored by jazz musicians in the Jazz Age were known as jazz standards. These enduring tunes contributed to jazz becoming a major part of American cultural history, with black jazz bands like the King and Carter Jazzing Orchestra playing a critical role in their popularity.
Step-by-step explanation:
Popular songs that were well known to the public and became favored by jazz musicians during the Jazz Age were called jazz standards. These songs often originated from Broadway shows or Hollywood musicals and were then adopted and reconceived by jazz performers, infusing the pieces with unique improvisations, rhythmic swings, and a distinctive style. In the 1920s, known as the Jazz Age, jazz music became a cultural phenomenon, with black jazz bands like the King and Carter Jazzing Orchestra achieving widespread popularity among diverse audiences, including hip, young urbanites known as flappers and sheiks.
The Cotton Club, a famed jazz establishment in New York, was renowned for featuring prominent black entertainers and drawing large, enthusiastic crowds. Jazz standards became the backbone of the jazz repertoire, and these enduring tunes contributed significantly to the mainstream acceptance of jazz as a key part of American music and cultural history.