Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges [tex]$200 and decorations cost $[/tex]100. The team decides to charge each student [tex]$5.00 to attend the dance.

If \( n \) represents the number of students attending the dance, which equation can be used to find the number of students needed to make $[/tex]1,500 in profit?

A. [tex]\( 5n - 300 = 1,500 \)[/tex]
B. [tex]\( 5n + 300 = 1,500 \)[/tex]
C. [tex]\( 5n - 200 + 100n = 1,500 \)[/tex]
D. [tex]\( 5n - 100 - 200n = 1,500 \)[/tex]

Sagot :

GinnyAnswer
To determine the equation that can be used to find the number of students needed to make \[tex]$1500 in profit, we need to consider the following: 1. Costs: - DJ Cost: \(\$[/tex] 200\)
- Decorations Cost: [tex]\(\$ 100\)[/tex]
- Total Cost: [tex]\( \$200 + \$100 = \$300\)[/tex]

2. Income:
- Each student is charged [tex]\(\$ 5.00\)[/tex]

3. Profit:
- Desired Profit: [tex]\(\$ 1,500\)[/tex]

To create the equation, let's use these variables:
- Let [tex]\(n\)[/tex] be the number of students attending the dance.
- The income from the students is [tex]\(5n\)[/tex] (since each student is charged \[tex]$5.00). The profit can be calculated as: \[ \text{Profit} = \text{Income} - \text{Total Cost} \] \[ \text{Desired Profit} = 1500 \] Using the numerical values: \[ \text{Income} = 5n \] \[ \text{Total Cost} = 300 \] So, the equation becomes: \[ \text{Income} - \text{Total Cost} = 1500 \] \[ 5n - 300 = 1500 \] Therefore, the equation that can be used to find the number of students needed to make \$[/tex]1500 in profit is:
[tex]\[ 5n - 300 = 1500 \][/tex]

So the correct answer is:
[tex]\[ \boxed{5n - 300 = 1500} \][/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.