WASHINGTON — When Steve Adler, the mayor of Austin, heard the Biden administration planned to give billions of dollars to states and localities in the $1.9 trillion pandemic aid package, he knew exactly what he wanted to do with his cut.
The remarkable growth of the Texas capital, fueled by a technology boom, has long been shadowed by a rise in homelessness, so local officials had already cobbled together $200 million for a program to help Austin’s 3,200 homeless people. When the relief package passed this spring, the city government quickly steered 40 percent of its take, about $100 million, to fortify that effort.
“The inclination is to spread money around like peanut butter, so that you help out a lot of people who need relief,” Mr. Adler, a Democrat, said in an interview. “But nobody really gets all that they need when you do that.”
The stimulus package that President Biden signed into law in March was intended to stabilize state and city finances drained by the coronavirus crisis, providing $350 billion to alleviate the pandemic’s effect, with few restrictions on how the money could be used.
Three months after its passage, cash is starting to flow — $194 billion so far, according to the Treasury Department — and officials are devoting funds to a range of efforts, including keeping public service workers on the payroll, helping the fishing industry, improving broadband access and aiding the homeless.
“It’s not like all places are rushing out to do…