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 fixed costs

Total costs = DJ cost + Decorations cost
$\$200 + \$100 = \$300$

Step2: Define revenue from students

Revenue = Price per student × Number of students
$\text{Revenue} = 5n$

Step3: Set up profit equation

Profit = Revenue - Total Costs
$1500 = 5n - 300$
Rearranged: $5n - 300 = 1500$

Answer:

A. $5n - 300 = 1,500$