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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

A school charges $6\$6 per ticket to a dance. They spend $300\$300 on music and decorations. The expression 6n3006n-300 describes the amount of profit the school makes from the dance if nn students buy tickets. What does 6n6n represent in this context?\newlineChoose 11 answer:\newline(A) The amount of money the school charges for all nn tickets\newline(B) The amount of money the school spends on the dance\newline(C) The number of students who buy tickets\newline(D) The profit the school earns per ticket

Full solution

Q. A school charges $6\$6 per ticket to a dance. They spend $300\$300 on music and decorations. The expression 6n3006n-300 describes the amount of profit the school makes from the dance if nn students buy tickets. What does 6n6n represent in this context?\newlineChoose 11 answer:\newline(A) The amount of money the school charges for all nn tickets\newline(B) The amount of money the school spends on the dance\newline(C) The number of students who buy tickets\newline(D) The profit the school earns per ticket
  1. Given Expression Breakdown: We are given an expression 6n3006n - 300, which represents the profit made by the school from a dance event. To understand what 6n6n represents, we need to break down the expression.
  2. Ticket Revenue Calculation: The school charges $6\$6 per ticket, and nn represents the number of students who buy tickets. Therefore, 6n6n represents the total amount of money collected from selling nn tickets.
  3. Identification of 6n6n: Since the expression for profit is 6n3006n - 300, and we know that $300\$300 is spent on music and decorations, the 6n6n must represent the revenue from ticket sales before expenses are subtracted.
  4. Matching 6n6n to Options: Now, we can match 6n6n to the correct choice from the given options:\newline(A) The amount of money the school charges for all nn tickets\newline(B) The amount of money the school spends on the dance\newline(C) The number of students who buy tickets\newline(D) The profit the school earns per ticket
  5. Final Correspondence: Clearly, 6n6n corresponds to choice (A) because it is the total amount charged for all nn tickets, not the amount spent, the number of students, or the profit per ticket.

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