On a hiking trail​ map, the distance from mountain peak A to mountain peak B is 12.3 inches. The actual distance is about​ 1,000 miles. What is the distance on the same map from river A to river B if the actual distance is about 100​ miles?

Respuesta :

Answer:

The distance of the rivers on the map is of 1.23 inches.

Step-by-step explanation:

We use proportions to solve this question, by a rule of three.

We have that:

If the actual distance is of 1000 miles, the distance on the map is of 12.3 inches. If the actual distance is 100 miles, what will be the distance on the map?

1000 miles - 12.3 inches

100 miles - x

Applying cross multiplication

[tex]1000x = 12.3*100[/tex]

[tex]1000x = 1230[/tex]

[tex]x = \frac{1230}{1000}[/tex]

[tex]x = 1.23[/tex]

The distance of the rivers on the map is of 1.23 inches.