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Decker shows Ilia a display featuring the legacy of ships named Enterprise, in the recreation room of the refit USS Enterprise (NCC-1701) in 2272. 

Background
Susan Sackett describes each of the ships in the display on pages 93–94 of The Making of Star Trek: The Motion Picture.


 * "Below the huge viewing screen there is a group of decorative art illustrations with brief histories of the various ships which have had the name Enterprise. The first illustration (left to right) depicts an actual U.S. Navy sailing frigate of that name; the second shows the World War II carrier U.S.S. Enterprise; the third, NASA's space shuttle Enterprise; since this was 23rd-century art work, the fourth illustration is of the very first starship U.S.S. Enterprise (never seen on television, but according to Gene Roddenberry, who supplied the sketch, it is a forerunner to the vessel we all know), and the fifth, the starship U.S.S. Enterprise as she appeared before refitting."