Question

5.) travon wants to compare his house to its plan. the width of his house is 50 feet. on the plan, his house is 25 centimeters. what is the scale factor in centimeters to feet?

Explanation:

Step1: Recall scale - factor formula

The scale factor is the ratio of the length on the plan to the actual length.

Step2: Set up the ratio

The length on the plan is 25 centimeters and the actual length is 50 feet. The scale - factor $k$ is given by $k=\frac{\text{length on plan}}{\text{actual length}}$. So, $k = \frac{25\text{ cm}}{50\text{ ft}}$.

Step3: Simplify the ratio

Simplify $\frac{25}{50}$ to get $\frac{1}{2}$. So the scale factor is $\frac{1\text{ cm}}{2\text{ ft}}$.

Answer:

1 cm to 2 ft