Carmen stayed at the Pink Palms Hotel last night. The room cost 55 plus a tax of 12%.

(a) Let x be the amount of tax for the room (in dollars). Using the values below, create a proportion that can be used to find x.
Values:

_________ _________
(b) Use the proportion from part (a) to find the amount of tax for the room. Do not round any computations.
(c) What was the total cost of the room, including tax? Do not round any computations.

(a) Let x be the amount of tax for the room (in dollars). Using the values below, create a proportion that can be used to find x.

Room cost: $55
Tax percentage: 12%

This can be written as:

x/55 = 12/100

(b) Use the proportion from part (a) to find the amount of tax for the room. Do not round any computations.

Cross multiplying, we have:

100x = 55 * 12

100x = 660

Dividing both sides by 100, we get:

x = 6.60

The amount of tax for the room is $6.60

(c) What was the total cost of the room, including tax? Do not round any computations.

To find the total cost, we add the room cost and the tax:

Total cost = Room cost + Tax
Total cost = $55 + $6.60
Total cost = $61.60

The total cost of the room, including tax, is $61.60.