1. The problem states that the profit $p$ from the dance depends on the number of students $n$ who attend. 2. The profit is 4 times the number of students minus 200 dollars for the cost of music. 3. We can write this relationship as an equation: $$p = 4n - 200$$ 4. Here, $4n$ represents the total money earned from $n$ students, and subtracting 200 accounts for the fixed cost. 5. This equation models the profit based on attendance. Final answer: $$p = 4n - 200$$