Apparently Illinois' code has gone downhill since I was there, unless that is different from the Chicago code. As an aside, that disposer trap is NOT properly vented, especially if it goes into a lateral arm which then goes to a vertical pipe. The disposer discharge, being from a "pump" can create enough velocity to cause a siphon past the second trap's outlet and deplete the trap seal. The problem with the lady's installation is that the tee is a simple straight slip tee, NOT a baffle tee, so excessive water is not forced to go down to the trap, but can backflow up to the sink when it hits the back of the tee. If she were in Phoenix, any of us plumbers could correct it, and get rid of the Mickey Mouse flexible pipe in the process.