Question

The scale on a map shows that 1 cm equals 10km if the distance between 2 cities on the map is 4.5 cm how far is the actual distance

Answer 1

45 km

Explanation:

Let's review the scale factor of this problem.

1 cm = 10 km

This means that for every 1 cm of distance on the map, 10 km is represented in the real world. Because of this, we know that dividing the actual distance by 10 will give us the distance on the map.

Ex. 40 km in real world = 4 cm on map

So, we will use d to represent the actual distance.

d=distance in real world

Then, we will divide d by 10 and set it equal to 4.5, because that's the distance on the map.

d/10 = 4.5

Now to solve this equation, we just have to multiply both sides by 10.

d=45

This is your answer.