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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.\newlineThe expression 6n300 6 n-300 describes the amount of profit the school makes from the dance if n n students buy tickets.\newlineWhat does 6n 6 n represent in this context?\newlineChoose 11 answer:\newline(A) The amount of money the school charges for all n n 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.\newlineThe expression 6n300 6 n-300 describes the amount of profit the school makes from the dance if n n students buy tickets.\newlineWhat does 6n 6 n represent in this context?\newlineChoose 11 answer:\newline(A) The amount of money the school charges for all n n 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. Analyze Expression: Analyze the given expression 6n3006n - 300. The expression is used to calculate the profit made by the school from the dance. The term 6n6n represents the total revenue from selling nn tickets at $6\$6 each, while the constant 300-300 represents the fixed cost spent on music and decorations.
  2. Identify 6n6n: Identify what 6n6n stands for.\newlineSince the school charges ($6)(\$6) per ticket and nn is the number of tickets sold, multiplying these two values (6×n)(6 \times n) gives us the total amount of money collected from ticket sales.
  3. Match with Context: Match 6n6n with the correct context from the given choices.\newlineWe have established that 6n6n is the total revenue from ticket sales, so we need to find the choice that corresponds to this context.
  4. Compare Choices: Compare 6n6n to the given choices.\newlineChoice A states "The amount of money the school charges for all nn tickets," which matches our understanding of 6n6n as the total revenue from selling nn tickets at $\(6) each.

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