Question

the table below gives the dimensions of a bridge and a scale model of the bridge. find the scale factor of the model. (the scale factor to get the model from the bridge.) write your answer as a fraction in simplest form. scale factor:

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Model dimension}}{\text{Bridge dimension}}\)

Step2: Calculate using width

Using width: \(\frac{5}{45}=\frac{5\div5}{45\div5}=\frac{1}{9}\)

Step3: Verify using height

Using height: \(\frac{6}{54}=\frac{6\div6}{54\div6}=\frac{1}{9}\)

Step4: Verify using length

Using length: \(\frac{7}{63}=\frac{7\div7}{63\div7}=\frac{1}{9}\)

Answer:

\(\frac{1}{9}\)