A map has a scale of 2 centimeters = 15 kilometers. The distance between two cities on the map is 9 centimeters. How many kilometers would someone need to drive to travel from one city to the other city?

x/9 = 15/2

what are your answer choices?

To solve this problem, we need to use the scale given on the map. The scale is 2 centimeters = 15 kilometers.

First, we can find the proportion between the distance on the map and the actual distance traveled.

Let's write the proportion:
2 centimeters on the map = 15 kilometers in reality
9 centimeters on the map = x kilometers in reality (the distance we want to find)

To find x, we can use the cross-multiplication method. Cross-multiplying, we have:
2 centimeters * x kilometers = 9 centimeters * 15 kilometers

Simplifying the equation:
2x = 135

Now, divide both sides of the equation by 2 in order to isolate x:
x = 135 / 2

Evaluating the division:
x = 67.5 kilometers

Therefore, someone would need to drive 67.5 kilometers to travel from one city to the other city on the map.