# A highway is 600 km in length. If the length of the highway on a map is 6 cm, what is the scale factor? Hint: 1 km = 100 000 cm.

Oct 26, 2017

The scale factor is 600 km to 60,000,000 cm.

#### Explanation:

1 km = 100,000 cm
600 km = ? cm

Let x be the cm in 600 km.

So we set up a proportion:
$\frac{1}{100 , 000} = \frac{600}{x}$
$x = 600 \cdot 100 , 000$
$x = 60 , 000 , 000$

The scale factor is 600 km to 60,000,000 cm.

Oct 26, 2017

If, $600 k m = 6 c m$
Then, it means
$\frac{600}{6} k m = 1 c m$
$100 k m = 1 c m$
So, per every 1cm, there are a 100km