Q18. - Algebra 1

Question

On a map, 1 inch $=10$ miles. If the distance between cities is 50 miles, how many inches will it be on the map?

Step-by-Step Solution

Answer

The distance of 50 miles will correspond to a distance of 5 inches on the map.

Step 1. Define a map.

A map is a representation of a place.

Step 2. Define the scale of a map.

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.

Step 3. Calculate the corresponding inches on the map for a distance of 50 miles.

On a map it is given that,

1 inch $=10$ miles

So, 1 mile $=\frac{1}{10}$ inch

Hence,  50 miles $=\frac{1}{10}\times 50$ inches $=5$ inches

 

Therefore, the distance of 50 miles will correspond to a distance of 5 inches on the map.