Question

1. a scale drawing of an automobile has a scale of 3 inches = 1/4 foot. the actual width of the car is 8 feet. what is the width of the scale drawing?

Explanation:

Step1: Set up the proportion

Let \(x\) be the width of the scale drawing. The proportion is \(\frac{3}{\frac{1}{4}}=\frac{x}{8}\).

Step2: Cross - multiply

Cross - multiplying gives \(\frac{1}{4}x = 3\times8\).

Step3: Simplify the right - hand side

\(3\times8 = 24\), so \(\frac{1}{4}x=24\).

Step4: Solve for \(x\)

Multiply both sides by \(4\), \(x = 24\times4\).

Answer:

\(96\) inches