Right now, the pay is about $20,000, but it would increase to about $60,000 under one proposal.
The idea has caused a stir ever since it was made public in late june. The move would make Mayor Glen Lang the only full-pay mayor in the state.
Lang defends the proposal, saying most mayors of major towns put in a full work week of time into their duties.
The meeting begins Monday at 5:30 p.m. in the Cary Town Council chambers.