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).