False advertising is a rather narrow doctrine, one that by necessity has to interact with standard contract law. Cases where false advertising involves prices usually include issues like hidden fees (telecoms signing you up for X a month but then your bill includes Y fees that weren't disclosed to you). More commonly, false advertising concerns things like consumer deception - claims that something is "clinically proven" when it actually isn't, for instance.
In general, in contract law, if the changed price is communicated to you before you have accepted the offer, then there's no issue. There are literally hundreds of years of precedent going back to the English common law describing what does and does not constitute an offer and what does and doesn't constitute acceptance of an offer.
Etc, etc etc.
The list goes on and on, but one thing is for sure- you will never get a car at the advertised price.