On a map, 2 inches represents 300miles. If two pointsare
separated by 5 miles on the map, what is the actual distancebetween
them?
Solve, show each step.

Respuesta :

Answer: The actual distance between  them is 750 miles.

Step-by-step explanation:

We are given that ,

On a map, 2 inches represents 300 miles.

We know that the map is a similar design of an actual place.

So the length on map and the actual distance should be proportional.

Two points are  separated by 5 miles on the map .

Let the actual distance be x.

By Equation of proportionality , we have

[tex]\dfrac{x}{5}=\dfrac{300}{2}[/tex]

[tex]\dfrac{x}{5}=150[/tex]

[tex]x=150\times5=750[/tex]

Therefore , the actual distance between  them is 750 miles.