It’s no secret that the Bay Area has become increasingly unaffordable for many workers because of the soaring cost of housing. But a recent study gives a glimpse into just how much the region’s sky-high rents are gobbling up the paychecks of one core segment of its work force: teachers.

The Bay Area has three of the least-affordable cities in the country for teachers, San Francisco, Oakland and San Jose, based on a recent analysis of teachers’ salaries and median rental prices among 50 of the nation’s largest cities by San Francisco-based ApartmentList.com, which tracks rents across the country.

Not surprisingly, San Francisco topped the Top 10 list of cities that lack affordable housing for teachers, with 69 percent of paychecks for mid-level teachers with five years experience going to rent for a one-bedroom apartment, based on 2016-2017 salaries. Oakland placed sixth in unaffordability, with 46 percent of teachers’ income going to rent. And San Jose placed…