Public Management—NEA Funding: Established by the U.S. Congress in 1965, the National Endo...

Public Management—NEA Funding: Established by the U.S. Congress in 1965, the National Endowment for the Arts (NEA) is a public agency that provides support for excellence in the arts as well as leadership in art education. The number of federal grants awarded by the NEA from 1990 to 2010 can be modeled by the rational function

where x represents the number of years since 1990, and f(x) represents the number of grants awarded. (Source: U.S. Endowment for the Arts Annual Report). Approximate the instantaneous rate of change of f when x = 6 and interpret.