For me this would come down to how much time I thought I would be able to use the bike vs. the hassle of transporting it. I do week long trips several times a year but that usually means being in a different city every night and often driving hundreds of miles a day (or taking a train or a short flight) and not getting to a hotel till 7 PM or later, having dinner and catching up on email before going to bed. Basically repeat for the remainder of the week. Sometimes I may get a free Sunday at the start of the trip or free Saturday at the end but that would not make up for dragging a bike around with me all week.
If I have a day off in a city, I can hop on a city bike and cruise around if I really want to ride but generally I'll explore on foot.