Question

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.

Answer 1

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:
`1/(100,000) = 600/x`
`x = 600 * 100,000`
`x = 60,000,000`

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

Answer 2

If, `600km=6cm`
Then, it means
`600/6km=1cm`
`100km=1cm`
So, per every 1cm, there are a 100km