Experience the convenience of getting your questions answered at IDNLearn.com. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.
Sagot :
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.
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.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.