I'm looking for statistics that show how a municipality's cost of
providing services (road maintenance, schools, law enforcement, etc.)
goes up per capita when it experiences rapid residential growth (for
example, changes from being a rural area to a suburban one).

I have found plenty of anecdotal evidence that costs do go up
disproportionately when an area experiences rapid growth, but I've had
a hard time finding hard data, or even case studies.

I'm most interested in data from the Northeast U.S. New England if
possible.