If ALL you do is fill the bags, there is none.  If you do anything else, the tank acts as a buffer for the compressor.  Like when filling tires, a pressure switch turns the compressor on and off to maintain 100-120 psi in the tank, you use whatever is needed to fill a tire.  The lighter plug compressors attach to the tire, then you turn them on and leave them on until the tire is at the correct pressure, then you turn it off.  With bike tires the tank fills them all without needing the compressor to cycle, pool toys (small) need more then the tank holds, but the tank does most of the work with the compressor finishing.  A tank also gives you the ability to run air tools (impact, air jack, etc).  The compressor can't by itself run those, but the compressor can fill the tank , run the tool for 5 seconds, then the compressor runs for 20-60 seconds refilling the tank before running the tool again.  Useful for tire changes on the road.  I have an 
air powered bottle jack for tire changes as well.