Final answer:
Bobby Darin famously sang 'Mack the Knife,' a song about the character Macheath from the Threepenny Opera, and it has become a staple in American music.
Step-by-step explanation:
The tune about the blade-wielding Macheath, which was sung by Bobby Darin, is A) Mack the Knife. This song originated from the Threepenny Opera and has been covered by various artists over the years, becoming a classic in American music repertoire. The lyrics tell the story of Macheath, a character who is a murderer and thief, and the song's darkly humorous take on his deeds has fascinated listeners since its inception.