I often seen foodstamp eligibility used a marker of poverty, but this is largely an anachronism from the past where foodstamps were reserved for the destitute.
Many states now set the requirement at 200% of the federal poverty level. Which is allready fairly generous--that puts 5 member households as foodstamp eligible if their income is under 70k.
Because eligibility is determined by household size and income, you can have two people living in the same city working the same job, but one is eligible for foodstamps and another is not.