Question

ashley stayed at the pink palms hotel last night. the room cost $83 plus a tax of 11%.
(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: 11, 83, 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 tax proportion

$\frac{11}{100} = \frac{x}{83}$

Step2: Solve for tax amount

$x = 83 \times \frac{11}{100}$
$x = 9.13$

Step3: Calculate total room cost

$\text{Total Cost} = 83 + 9.13$
$\text{Total Cost} = 92.13$

Answer:

(a) $\boldsymbol{\frac{11}{100} = \frac{x}{83}}$
(b) $\boldsymbol{\$9.13}$
(c) $\boldsymbol{\$92.13}$