Question

isabel stayed at the green lotus inn last night. the room cost $76 plus a tax of 13%.
(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:
13
76
100
x
(b) use the proportion from part (a) to find the amount of tax for the room. do not round any computations.
amount of tax: $
(c) what was the total cost of the room, including tax? do not round any computations.
total cost: $

Explanation:

Step1: Set up the proportion

We know that tax rate is a percentage, so we can set up the proportion $\frac{13}{100}=\frac{x}{76}$. This is because 13% (13 out of 100) is the tax rate, and we want to find $x$ (tax amount) for a $76$ room.

Step2: Solve for x (tax amount)

Cross - multiply the proportion: $100x = 13\times76$. Then $x=\frac{13\times76}{100}$. Calculate $13\times76 = 988$, so $x=\frac{988}{100}=9.88$.

Step3: Calculate total cost

The total cost is the room cost plus tax. The room cost is $76$ and tax is $9.88$, so total cost $=76 + 9.88=85.88$.

Answer:

(a) The proportion is $\frac{13}{100}=\frac{x}{76}$
(b) Amount of tax: $\$9.88$
(c) Total cost: $\$85.88$