Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying x nights?

  • A. left parenthesis 99.5 plus 0.08 x right parenthesis plus 5
  • B. 1.08 open parentheses 99.95 x close parentheses plus 5
  • C. 1.08 open parentheses 99.95 x plus 5 close parentheses
  • D. 1.08 open parentheses 99.95 plus 5 close parentheses x

Answer: B

Why? 

The total charge that Aaron will pay is the room rate, the 8% tax on the room rate, and a fixed fee. If Aaron stayed x nights, then the total charge is left parenthesis 99.95 x plus 0.08 cross times 99.95 x right parenthesis plus 5, which can be rewritten as 1.08 open parentheses 99.95 x close parentheses plus 5.

Question Difficulty: EASY

Objective: Students must create a linear expression to represent a real-world situation.

Words:
  1. untaxed – không bị đánh thuế (adj): (of an item, income, etc.) not having had the required tax paid on it.
  2. charge – phí dịch vụ (n): a price asked for goods or services.
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