Question

(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: $

Explanation:

Part (a)

Step1: Identify tax rate proportion

Tax rate is usually a percentage, so the proportion relates tax to price and 11 (tax) to 100 (percent base), and \( x \) (tax) to 83 (price). So the proportion is \(\frac{11}{100}=\frac{x}{83}\).

Step1: Cross - multiply the proportion

From \(\frac{11}{100}=\frac{x}{83}\), cross - multiply to get \(100x = 11\times83\).

Step2: Calculate the right - hand side

Calculate \(11\times83 = 913\). So the equation is \(100x=913\).

Step3: Solve for \(x\)

Divide both sides of the equation \(100x = 913\) by 100. So \(x=\frac{913}{100}=9.13\).

Answer:

\(\boldsymbol{\frac{11}{100}=\frac{x}{83}}\)

Part (b)