Question

mustafas soccer team is planning a school dance as a fundraiser. the dj charges $200 and decorations cost $100. the team decides to charge each student $5.00 to attend the dance. if \LXI0 represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

\\(5n - 300 = 1,500\\)
\\(5n + 300 = 1,500\\)
\\(5n - 200 + 100n = 1,500\\)
\\(5n - 100 - 200n = 1,500\\)

Explanation:

Calculate total expenses

Using the Linear Equations knowledge point

$$ \text{Expenses} = 200 + 100 = 300 $$

Express total revenue

Using the Algebraic Translation knowledge point

$$ \text{Revenue} = 5n $$

Formulate the profit equation

Using the Algebraic Translation knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) \(5n - 300 = 1,500\) (Correct answer)
• (B) \(5n + 300 = 1,500\)
• (C) \(5n - 200 + 100n = 1,500\)
• (D) \(5n - 100 - 200n = 1,500\)