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Question 6 of 30

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M:C:MC:6

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Heart of Algebra

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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?

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left parenthesis 99.5 plus 0.08 x right parenthesis plus 5

Correct Answer: 
No

1.08 open parentheses 99.95 x close parentheses plus 5

Correct Answer: 
Yes

1.08 open parentheses 99.95 x plus 5 close parentheses

Correct Answer: 
No

1.08 open parentheses 99.95 plus 5 close parentheses x

Correct Answer: 
No

View Correct Answer

Choice B is correct. 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.

Choice A is not the correct answer. The expression includes only one night stay in the room and does not accurately account for tax on the room.

Choice C is not the correct answer. The expression includes tax on the fee, and the hotel does not charge tax on the $5.00 fee.

Choice D is not the correct answer. The expression includes tax on the fee and a fee charge for each night.

Question Difficulty: 
easy
Objective: 

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