Studio apartments, roommates, spouse, living outside the city limits, living in a smaller apartment, aid (for single/low income parents), etc -- there's a lot of options, and it's disingenuous to frame it like this.
Even if we did raise minimum wage to $30 (and for the record, I'm for raising minimum wage to keep pace with inflation.. just not to $30), what does that solve? Techies will just get a raise, too (why be a programmer when you can make the same at a dead end job?), and we'll be back where we started.