Question

a scale drawing of an automobile has a scale of 1 in : \\(\frac{1}{2}\\) ft. the actual width of the car is 8 ft. what is the width on the scale drawing?
a. 4 in \qquad \qquad c. 16 in
b. 8 in \qquad \qquad d. 12 in

please select the best answer from the choices provided
\\(\bigcirc\\) a
\\(\bigcirc\\) b
\\(\bigcirc\\) c
\\(\bigcirc\\) d

Explanation:

Step1: Understand the scale

The scale is \(1\) in : \(\frac{1}{2}\) ft, meaning \(1\) inch on the drawing represents \(\frac{1}{2}\) foot in actual.

Step2: Set up the proportion

Let \(x\) be the width on the scale drawing (in inches). The actual width is \(8\) ft. We can set up the proportion: \(\frac{1\ \text{in}}{\frac{1}{2}\ \text{ft}}=\frac{x\ \text{in}}{8\ \text{ft}}\)

Step3: Solve for \(x\)

Cross - multiply: \(\frac{1}{2}x = 8\times1\). Then \(x=8\div\frac{1}{2}\). Since dividing by a fraction is multiplying by its reciprocal, \(x = 8\times2=16\) inches.

Answer:

C. 16 in