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]
