Cerqui was arrested last November, several weeks before he was elected mayor and just a night after he attended a candlelight vigil for victims of drunk driving.
When he was pulled over in Tacoma, the then city councilman reportedly said "Do you know that I'm a Fife City Councilman?" before refusing to take a breathalizer test.
Cerqui didn't speak to the press on Thursday, but the families of local DUI victims did.
Fife resident Karla Wayman's baby, Jayden, was killed by a drunk driver, and she doesn't like the idea of an accused drunk driver running her city.
"I was devastated," she said. "I mean, I don't want someone like that representing me and my city. It's like a slap in the face."
Sharon Reynon is also a victim, having lost her daughter, Alicia, to a drunk driver.
"I get, I guess, a little angry, especially when political people are out there doing that," Reynon said. "(Aren't) they're supposed to be an example?"
Cerqui left court on Thursday with the offer of plea agreement, but no decision. There are unconfirmed reports that the plea agreement is for negligent driving, which would mean Cerqui would pay a fine and have to attend a DUI victim panel.