Question

find the scale factor for each scale. 7.g.1

1. 6 in. = 10 ft
2. 4 cm = 2.5 mm
3. 5 ft = 15 yd

Explanation:

Step1: Convert units to the same unit

For \(6\) in. \( = 10\) ft:
Since \(1\) ft \(= 12\) in, then \(10\) ft \(=10\times12 = 120\) in.
The scale factor is the ratio of the model length to the actual length.
The scale factor \(k=\frac{6}{120}\)

Step2: Simplify the ratio

\(k=\frac{6\div6}{120\div6}=\frac{1}{20}\)

Answer:

The scale factor is \(\frac{1}{20}\)