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: width (feet) 6, height (feet) 7, length (feet) 8
bridge: width (feet) 48, height (feet) 56, length (feet) 64
scale factor: box buttons: refresh, fraction, x

Explanation:

Step1: Identify corresponding dimensions

We take the width (or height or length) of the model and the bridge. Let's use width: Model width = 6, Bridge width = 48.

Step2: Calculate scale factor

Scale factor = Model dimension / Bridge dimension = $\frac{6}{48}$

Step3: Simplify the fraction

Simplify $\frac{6}{48}$ by dividing numerator and denominator by 6: $\frac{6\div6}{48\div6}=\frac{1}{8}$

Answer:

$\frac{1}{8}$