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The problem involves determining a reasonable range for the number of shirts that Mercy’s team would order. The total cost of ordering team shirts is modeled by the function:

\[
f(x) = 12.75x + 3.50
\]

where \(x\) is the number of shirts ordered, and \(f(x)\) is the total cost.

### Key information:
- Mercy's team must have at least 6 players.
- The team can have a maximum of 10 players.

### Range for the number of shirts:
Since the number of shirts corresponds to the number of players, and there are a minimum of 6 players and a maximum of 10 players, a reasonable range for the number of shirts is:

\[
6 \leq x \leq 10
\]

This means the number of shirts \(x\) must be between 6 and 10 inclusive, as each player will order one shirt.

Would you like further details on how to apply this to cost calculations? 

Here are five related questions:
1. What would be the cost of ordering 6 shirts?
2. How does the cost increase as more shirts are ordered?
3. What would the cost function look like if there was a discount for orders over 8 shirts?
4. How would you calculate the average cost per shirt?
5. What is the cost difference between ordering the minimum and maximum number of shirts?

**Tip:** When defining ranges, always check if the values should be inclusive (i.e., the endpoints are included).

Mercy participates in a bowling league on a team with her friends. The cost of ordering team shirts can be represented by f(x) = 12.75x + 3.50, where the total cost is a function of x and x is the number of shirts ordered. Mercy's team must have a minimum of 6 players and a maximum of 10 players. What is a reasonable range for this situation?

Learn how to determine a reasonable range for the number of shirts ordered in a bowling league scenario. The total cost of ordering team shirts is represented by the function f(x) = 12.75x + 3.50, where x is the number of shirts ordered. Suitable for students in Grades 6-8.

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