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.

	model	bridge
width (feet)	5	45
height (feet)	6	54
length (feet)	8	72

scale factor: |

Explanation:

Step1: Set ratio (model/bridge)

$\frac{\text{Model Width}}{\text{Bridge Width}} = \frac{5}{45}$

Step2: Simplify the fraction

$\frac{5\div5}{45\div5} = \frac{1}{9}$

Step3: Verify with other dimensions

$\frac{6}{54} = \frac{1}{9}$, $\frac{8}{72} = \frac{1}{9}$

Answer:

$\frac{1}{9}$