A school charges $6 per ticket to a dance. They spend $300 on music and decorations. The expression 6n−300 describes the amount of profit the school makes from the dance if n students buy tickets. What does 6n represent in this context?Choose 1 answer:(A) The amount of money the school charges for all n tickets(B) The amount of money the school spends on the dance(C) The number of students who buy tickets(D) The profit the school earns per ticket
Q. A school charges $6 per ticket to a dance. They spend $300 on music and decorations. The expression 6n−300 describes the amount of profit the school makes from the dance if n students buy tickets. What does 6n represent in this context?Choose 1 answer:(A) The amount of money the school charges for all n tickets(B) The amount of money the school spends on the dance(C) The number of students who buy tickets(D) The profit the school earns per ticket
Given Expression Breakdown: We are given an expression 6n−300, which represents the profit made by the school from a dance event. To understand what 6n represents, we need to break down the expression.
Ticket Revenue Calculation: The school charges $6 per ticket, and n represents the number of students who buy tickets. Therefore, 6n represents the total amount of money collected from selling n tickets.
Identification of 6n: Since the expression for profit is 6n−300, and we know that $300 is spent on music and decorations, the 6n must represent the revenue from ticket sales before expenses are subtracted.
Matching 6n to Options: Now, we can match 6n to the correct choice from the given options:(A) The amount of money the school charges for all n tickets(B) The amount of money the school spends on the dance(C) The number of students who buy tickets(D) The profit the school earns per ticket
Final Correspondence: Clearly, 6n corresponds to choice (A) because it is the total amount charged for all n tickets, not the amount spent, the number of students, or the profit per ticket.
More problems from Interpreting Linear Expressions