Whether you're eligible for Supplemental Nutrition Assistance Program (SNAP) benefits or not simply boils down to one thing - location, location, location. SNAP is a Federal program that is administered by the 50 states and each state is able to determine who qualifies for food assistance.
If you need food assistance then the first thing you should do is fill out an application either online or at your local Department of Health and Human Services office. Whether or not you qualify for the program will depend on your family income and what state you reside in because each state has their own rules and regulations determining who is eligible for food assistance.
Filling out an application will only take a few minutes and if you qualify then you'll be able to begin receiving your assistance as soon as your state allows it.
Here's a great resource for SNAP benefits. It shows all 50 states and how much they offer in total benefits, benefits per person/month, benefits per household, persons and households participating, and several ways to filter information.
Compare SNAP Participation and Benefits