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A school charges $6\$6 per ticket to a dance. They spend $300\$300 on music and decorations. The expression 6n−3006n-300 describes the amount of profit the school makes from the dance if nn students buy tickets. What does 6n6n represent in this context?\newlineChoices:\newline(A)The amount of money the school charges for all `\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

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Q. A school charges $6\$6 per ticket to a dance. They spend $300\$300 on music and decorations. The expression 6n−3006n-300 describes the amount of profit the school makes from the dance if nn students buy tickets. What does 6n6n represent in this context?\newlineChoices:\newline(A)The amount of money the school charges for all `\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. Understand the expression: Understand the expression.\newlineThe expression given is 6n−3006n - 300, which is used to calculate the profit the school makes from the dance.
  2. Identify components: Identify the components of the expression.\newlineThe expression has two parts: 6n6n and −300-300. The −300-300 represents the fixed cost of $300\$300 for music and decorations. The 6n6n is the variable part of the expression, which changes depending on the number of students nn.
  3. Interpret variable part: Interpret the variable part of the expression.\newlineSince the school charges $6\$6 per ticket, the term 6n6n represents the total amount of money the school collects from selling nn tickets.
  4. Match with choices: Match the term 6n6n with the given choices.\newlineThe choices are:\newline- The amount of money the school charges for all nn tickets\newline- The amount of money the school spends on the dance\newline- The number of students who buy tickets\newline- The profit the school earns per ticket\newlineThe term 6n6n corresponds to the first choice, which is ＂The amount of money the school charges for all nn tickets.＂

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