Question

On a public transportation map, two stations are 9 centimeters apart, whereas in real life thedistance between them is 3 kilometers. What is the scale of the map?Write your answer in simplest form using whole numbers.centimeters =kilometers

Answer 1

Given:

The distance between two stations in map, D= 9cm.

The distance between two stations in real life, d=3 km.

Now, to find the scale of the map take the ratio of D/d .

$\frac{d}{D}=\frac{3\operatorname{km}}{9\text{ cm}}=\frac{1\operatorname{km}}{3\text{ cm}}=\frac{1}{3}\frac{km}{\operatorname{cm}}$

So, the scale of the map is 1 km=3 cm.