Final answer:
The term that refers specifically to the jazz orchestra consisting of brasses, saxophones, and a rhythm section is a Swing band, which was popular in the 1920s and 1930s.
Step-by-step explanation:
The term that specifically refers to the jazz orchestra consisting of brasses (trumpets, trombones), saxophones, and a rhythm section (piano, bass, and drums) is B. Swing band. The Swing band was a distinctive type of band that emerged in the jazz era, characterized by its big band sound and typically associated with the swing music style popular during the 1920s and 1930s. Black jazz bands like the King and Carter Jazzing Orchestra, captured in the photograph by Robert Runyon in 1921, were a key part of this movement and showcased the growing importance and popularity of jazz music among diverse audiences. The instrumental makeup of these bands allowed for a wide range of sounds and styles—importantly, the inclusion of improved wind instruments significantly contributed to the characteristic sound of jazz and swing music.