Those apps are forever linked to that Apple ID. If it's a business owned Mac the IT people should do the installation with a business Apple ID so that as the Mac is passed from employee to employee this problem won't occur, both with Apps and systems.
Otherwise your only solution is to use your own Apple ID.
Old toad -- Thanks for the info. So if I understand correctly, the only way to reinstall it without paying is to use an apple ID that has installed it in the past. I guess this is confusing, because I don't think I have ever installed specifically the iPhoto as a stand alone app. It has always been included with either a computer purchase or a OS update. So if this is the case, how do I get it back on my machine?
Is this your machine or the company's? Machines that came with Snow Leopard or earlier installed come with system and software install disks that can be used to reisntall the iApps that came with the machine orignally.
If this is your machine and it came with Snow Leopard or earlier installed the disk will look slimialr to one of these:
If it is the company's machine see if they have the disks.
Do a custom install and then use Software Update to update iPhoto to the highest version that is available.
Connect your air in Target Disk Mode, Transferring files between two computers using FireWire to another Mac and install from the other Mac.
Or use another Mac to make a disk image of the install disk, copy it to the Air however you'd transfer files, i.e external HD, Air Drop, etc., and install from the disk image.