What is the scale if 3 cm on the map correspond to 120 km in the actual distance

The scale is 1 cm : 40km

The map is a scale drawing

A scale drawing is a reduced image of another image.

Scale of the map = dimensions of the scale drawing / dimensions of actual image

3cm /120 km

To simplify, divide both sides of the equation by 3

1 cm : 40km

To learn more about scale drawings, please check: link

1 cm : 40 km.

Step-by-step explanation:

We are asked to find the scale factor of a map, when 3 cm on the map correspond to 120 km in the actual distance.

To find scale of the map, we will divide actual distance by distance on map as:

Since 1 cm on map corresponds to 40 km in the actual distance, therefore, the scale is 1 cm : 40 km.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x