Following several weeks of questions from residents regarding the status and numbers of homeless families staying at the downtown Bedford Plaza Hotel, the Board of Selectmen held a public forum to address a number of concerns, including the families’ impact on schools and other public services. At the Oct. 3 meeting, state Representative Ken Gordon of Bedford said he had received assurances from the Department of Housing and Community Development that the number of families living in the hotel — more than 80 in a recent count — will diminish over the next several months, as the families who move into longer-term housing will not be replaced. Town Manager Rick Reed also explained that a Sept. 23 inspection had identified a small number of code violations that the hotel owner is being required to rectify within 30 days. The PowerPoint presentation that Reed delivered at the forum is available through a link under News and Announcements on the town’s website, www.bedfordma.gov. Full story for BostonGlobe.com subscribers.