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?
To find the range of the function, we need to consider the minimum and maximum values of the number of golf balls remaining for the team.
The coach has 88 golf balls.
For each player on the team, the coach gives away 11 golf balls.
Using these two facts, we can create an equation to find the number of golf balls remaining for the team (y) in terms of the number of players on the team (x): y = 88 - 11x
To find the maximum value of y, we need to minimize the value of x. The coach will use no more than 5 players on the team. Plugging in x = 5 into the equation, we get y = 88 - 55 = 33.
To find the minimum value of y, we need to maximize the value of x. The coach will use at least 1 player on the team. Plugging in x = 1 into the equation, we get y = 88 - 11 = 77.
Therefore, the range of the function in this situation is {y ∈ ℤ | 33 ≤ y ≤ 77}.