This also doesn't get into the fact that transportation is a huge part of this. If you can't get to your job then you can't work it. Many minimum wage jobs are in strip malls with no public transportation. You can't afford to own a car on a minimum wage salary, so if you can't live close enough to a minimum wage employment center to walk, you may not even have the option to work.
And since most businesses and neighborhoods see apartments as undesirable in their vicinity, they're frequently not within an appropriate range of employment centers.