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The problem involves a linear relationship between the number of players \( x \) and the number of golf balls remaining \( y \) on a team. 

From the graph and the problem statement:

1. The coach starts with 96 golf balls.
2. Each player receives 8 golf balls, so the number of golf balls decreases by 8 per player.

### Linear Equation:

The relationship is linear, with a slope indicating the number of golf balls used per player (8 golf balls). We can set up the equation in slope-intercept form:

\[
y = mx + b
\]

Where:
- \( m = -8 \) (since the golf balls decrease by 8 for each player),
- \( b = 96 \) (the initial number of golf balls when no players have received any).

Thus, the equation becomes:

\[
y = -8x + 96
\]

### Range of the Function:

The number of players \( x \) is capped at 6, as stated in the problem. Substituting \( x = 6 \) into the equation:

\[
y = -8(6) + 96 = -48 + 96 = 48
\]

Thus, the number of golf balls ranges from \( y = 96 \) (when \( x = 0 \)) to \( y = 48 \) (when \( x = 6 \)).

### Answer:

The range of the function, based on this situation, is the set of values of \( y \), which is from 48 to 96.

Therefore, the set that best represents the range of the function is: 
\[
\boxed{[48, 96]}
\]

---

Would you like further clarification or details? Here are five related questions to consider:

1. What is the domain of the function in this scenario?
2. How would the equation change if the coach started with 120 golf balls?
3. If the coach gave 10 balls per player instead of 8, how would that affect the range?
4. How do you determine the slope of a linear function from a graph?
5. What does the y-intercept represent in real-world scenarios like this?

**Tip:** The slope of a linear equation represents the rate of change. In this case, it indicates the number of golf balls used per player.

A coach has 96 golf balls for the school’s golf team. The coach will give each player on the team 8 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 6 players on the school's golf team. Which set best represents the range of the function for this situation?

Learn how to determine the range of a linear function showing the relationship between the number of players and remaining golf balls. The coach starts with 96 golf balls, gives each player 8 balls, and the graph represents the situation. This problem covers slope-intercept form and linear equations for Grades 7-9.

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