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 n 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:

Step1: Calculate total cost

The DJ charges $200 and decorations cost $100, so total cost is \(200 + 100 = 300\) dollars.

Step2: Calculate total revenue

Each student is charged $5, so total revenue from \(n\) students is \(5n\) dollars.

Step3: Relate profit, revenue, and cost

Profit = Revenue - Cost. We want profit to be $1500, so \(5n - 300 = 1500\).

Answer:

\(5n - 300 = 1500\) (corresponding to the first option)