If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n +1 games?
~$nx+y \over n+1$~
x+~$y \over n+1$~
x+~$y \over n$~
~$n(x+y) \over n+1$~
~$x+ny \over n+1$~