"The secretaries have asked us to provide lounge areas where they can spend their office breaks. This request will have to be refused. If we give them lounge areas, next they will ask for spas and swimming pools, then yoga centres and fitness gyms, and expenditures for these facilities will drive us into bankruptcy." Which fallacy is committed in the above argument?

A small first step is claimed to trigger an unstoppable chain ending in disaster, a slippery slope.

The premise is only a modest request for lounge areas.

The argument links it to spas, pools, yoga centres and gyms in succession.

These supposed stages are asserted without any evidence that one must follow another.

The predicted end, bankruptcy, is used to reject the small first step.

Reasoning down such an unsupported chain of consequences is the slippery slope fallacy.