I live in an extremely low COL area and live well within my current means. Assuming my work dries up and I don't have any savings, 3k$ would buy me two months tops.
Just to give you an idea of how cheaply I live: Mortgage is ~800$/mo, Car is a paid off 2006 Toyota Highlander, Student loan minimums of ~400$/mo, My wife and I have a newborn, which currently isn't very expensive but we all still need to eat.
The average one bedroom rental in any given metro area, even in mid sized cities, probably lands somewhere around my basic monthy costs. So, if you're a single person in the city you might get one month out of 1k$.
And I am VERY lucky to have a bunch of cashed packed away. I assume at least a large portion of this country is living paycheck to paycheck.