Question

Maria 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 Maria’s total charge, in dollars, for staying x nights?

Answer 1

Maria’s total charge for staying x nights is (99.95 + 0.08 * 99.95) * x + 5 dollars.

Step-by-step explanation:

The cost of staying in the room for x nights is 99.95 * x dollars. The tax on the room rate is 8% * 99.95 * x = 0.08 * 99.95 * x dollars. The additional onetime untaxed fee is $5.00.

Adding all these charges together, we get that Maria’s total charge for staying x nights is 99.95 * x + 0.08 * 99.95 * x + 5. This expression can be simplified by factoring out x from the first two terms: (99.95 + 0.08 * 99.95) * x + 5. So, Maria’s total charge for staying x nights is (99.95 + 0.08 * 99.95) * x + 5 dollars.

Answer 2

Maria's total charge for staying x nights can be calculated using the following formula:

Total charge = (room rate per night + tax) x number of nights + additional fee

The room rate per night including tax is:

$99.95 + 8%($99.95) = $107.94

So, the total charge for x nights is:

Total charge = $107.94 x x + $5.00

Total charge = $107.94x + $5.00

Therefore, Maria's total charge, in dollars, for staying x nights is $107.94x + $5.00.