To find the expression that represents the money that the league raises, we need to follow these steps:
1. Determine the selling price and cost per shirt:
- The price at which they sell each shirt is [tex]$14.
- The cost to make each shirt is $[/tex]7.
2. Calculate the profit per shirt:
- The profit per shirt is given by subtracting the cost per shirt from the selling price:
[tex]\[
\text{Profit per shirt} = \text{Selling price} - \text{Cost price} = 14 - 7 = 7
\][/tex]
3. Express the total profit based on the number of shirts sold:
- Let [tex]\( n \)[/tex] represent the number of shirts sold.
- The total profit from selling [tex]\( n \)[/tex] shirts would be:
[tex]\[
\text{Total profit} = \text{Profit per shirt} \times n = 7 \times n = 7n
\][/tex]
4. Subtract the fixed advertising cost:
- The league spent \$55 on advertising, which is a fixed cost that must be subtracted from the total profit:
[tex]\[
\text{Net money raised} = 7n - 55
\][/tex]
Thus, the expression that represents the money that the league raises is:
Option A. [tex]\((14-7) n - 55\)[/tex]
Simplifying this, it becomes:
[tex]\[(14 - 7) n - 55 = 7n - 55\][/tex]
Therefore, the correct expression is [tex]\( 7n - 55 \)[/tex], which matches Option A.
