Question

A scale on a map shows that 33 3 3 centimeters represents 1010 10 10 kilometers. What number of centimeters on the map represents an actual distance of 2525 25 25 kilometers?

Answer 1

Answer:

7.5 cm.

Step-by-step explanation:

Let x represent the distance on map.

We have been given that a scale on a map shows that 3 centimeters represents 10 kilometers. We are asked to find the distance on map that corresponds to 25 kilometers in actual.

We will use proportions to solve our given problem.

$\frac{\text{Map distance}}{\text{Actual distance}}=\frac{3\text{ cm}}{\text{10 km}}$

Upon substituting our given values in above proportion, we will get:

$\frac{x}{25\text{ km}}=\frac{3\text{ cm}}{\text{10 km}}$

$\frac{x}{25\text{ km}}\cdot 25\text{ km}=\frac{3\text{ cm}}{\text{10 km}}\cdot 25\text{ km}$

$x=\frac{3\text{ cm}}{2}\cdot 5$

$x=\frac{15}{2}\text{ cm}$

$x=7.5\text{ cm}$

Therefore, 7.5 centimeters on the map represents an actual distance of 25 kilometers.