Average rent for a 1 bedroom apartment in Seattle, WA is $1869 a month [1]. A PugetPass costs about $80 a month. Living in Seattle without a car costs $1949 a month, or $23.4k a year.
Average rent for a 1 bedroom apartment in St. Louis, MO is $817 a month [2]. A decent used car that will last at least four years before needing maintenance costs a total of $4000, or an average of $83 a month. The national average for car insurance is $815 a year [3] (Missouri's is even lower), coming out to $68 a month. Now let's assume your used car gets a modest 25MPG, gas costs $3.00 a gallon, and your work is 15 miles away, plus you drive 20 miles on weekends. That's $82 a month in gas. Living with a car in St. Louis costs $1050 a month, or $12.6k a year.
Living with a car in a driveable city is $900/month and $10.8k/year cheaper than living in a non-driveable city. By this metric, non-driveable cities have housing that is 85% more expensive.
[1] https://www.rentcafe.com/average-rent-market-trends/us/wa/se...
[2] https://www.rentcafe.com/average-rent-market-trends/us/mo/sa...
[3] https://www.thesimpledollar.com/how-much-does-car-insurance-...