Posted on February 4, 2021 by Mirela Iverac in Gothamist Gothamist, By Mirela Iverac Last year, the percentage of New York City families deemed eligible to live in homeless shelters dropped to its lowest point during the de Blasio administration, according to recently released city data. The city has always investigated whether families who apply for shelter are truly homeless, and even in normal times they reject a high number of applications. In November of 2014, during Mayor Bill de Blasio’s first year in office, the city determined that 50.2% of the families with children that applied were eligible.