Really income has no bearing on rent.
$1k a month would be a steal here. I had a tiny 1br/1bath unit near the beach here for $650 from a private owner. A similar unit in a commercial apartment building would have been about $1200. Now for $1200 you can rent many houses in a 20 mile circle from here, also at more than 5 times that some 2/2's would be out of range.
With a rental things like where your apartment is makes the biggest difference, then things like where your parking is (and if it's assigned), how many people you live around, soundproofing, etc make a HUGE difference. Also how the apartment is kept and how prompt the landlord is.
In my last rental my landlord lived next to me until it sold to another owner for the last 1 year I lived there. He was a good landlord, but it was his first go at it so he did some things that intruded on us.
You can take the exact same apartment and place it in Palm Beach vs Shreveport and you would be looking at a difference measured in multiples.