Not that I trust the CDC per se but if you query yourself you'll see there are plenty of other sources.

https://www.cdc.gov/features/FoodDeserts/index.html

Regardless, what you're naively discounting is the effects of poverty on the mind (and the body). Imagine, if you can, a state of permanent stress, fear, worry, etc. The human mind is __not__ wired to make optimal decisions under such circumstances.

Now let's just say it's time to eat...You're running from your 2nd job to your 3rd...how do you think that decision is going to go?

Poverty is not a lack of wealth. That's a side effect. Poverty is the result of mental, emotional and spiritual starvation; in the face of a world of plenty for everyone else but you and yours.