On a map of a forest trail, 1 centimeter represents 200 meters.
What is the distance, in kilometers, to a rest stop that is two-thirds of the way down the trail, if the trail measures 15 centimeters
on the map?

2.0 km

Step-by-step explanation:

In this problem, the scale between the map and the real distances is:

1 cm on the map represents 200 meters

The length of the trail in this problem on the map is

d = 15 cm

The rest stop is located 2/3 of the way, so at a distance of

on the map.

We want  to find the real distance of the rest stop: therefore, we can use the rule of three,

where D' is the real distance of the rest stop.

Solving for D',

Which corresponds to 2.0 km.