San Francisco’s Board of Supervisors and Commission on the Status of Women will jointly question police officials Thursday about the department’s handling of rape investigations, including why so few cases are solved and how cases are moved into inactive status. The meeting, scheduled for Oct. 8, is the first time the two bodies have held a joint hearing with the San Francisco Police Department focused on the issue. The Mayor’s Office for Victims’ Rights is expected to present recommendations for changes to the department’s response, drawing on its work with roughly 450 victims and an examination of SFPD’s record. The proposed rules could affect each stage of a sexual assault investigation, from the initial 911 call through the decision to close a case. The recommendations have not yet been adopted. SFPD cleared 14% of rape cases last year, according to findings that prompted the hearing. That was about half the national rate and the lowest clearance rate among large California counties over the previous five years. Over the past decade, the department’s share of rape cases it solved fell by more than half. More than 300 people underwent lengthy, invasive rape exams at San Francisco General Hospital last year. The department classified 78% of their cases as “inactive,” a status that means a case remains technically open but is not being actively investigated. Victims have described investigators as slow to respond or difficult to reach, and some said they tracked down evidence and repeatedly pursued detectives themselves. The hearing will bring those concerns before city officials as they consider changes to how the department responds to sexual assault.