A coach has 88 golf balls for the school's golf team. The coach will give each player on the team 11 golf balls. The graph shows the linear relationship between `y`, the number of golf balls remaining for the team, and `x`, the number of players on the team.
The coach will use no more than 5 players on the school's golf team. Which set best represents the range of the function for this situation?
The coach will give each player 11 golf balls, so the number of golf balls remaining for the team will be 88 - 11x.
Since the coach will use no more than 5 players on the team, the possible values for x are 1, 2, 3, 4, and 5.
Evaluating the function for each of these values, we find the following:
For x = 1, y = 88 - 11(1) = 88 - 11 = 77
For x = 2, y = 88 - 11(2) = 88 - 22 = 66
For x = 3, y = 88 - 11(3) = 88 - 33 = 55
For x = 4, y = 88 - 11(4) = 88 - 44 = 44
For x = 5, y = 88 - 11(5) = 88 - 55 = 33
So, the range of the function for this situation is {33, 44, 55, 66, 77}.