Aresponsibility of the federal art project during the great depression involved

setting up art classes for residents.
taxing artists who wanted to sell their work.
depicting hardship through artwork.
running art programs at state parks

A responsibility of the Federal Art Project during the Great Depression involved running art programs at state parks.

Explanation:

The Federal Art Project was the visual arts component of the Work Progress Administration's program for increased jobs, conducted during the Great Depression.

The Federal Art Project began in August 1935 and lasted until June 1943. It is thought to have been responsible for the creation of over 200,000 works of art: posters, paintings and murals.

The main purpose of the Federal Art Project was to hire unemployed artists and provide them with duties for public buildings such as schools, hospitals and libraries. The project included support for art production, education in art subjects and research on art.