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.
[tex]\frac{\text{Map distance}}{\text{Actual distance}}=\frac{3\text{ cm}}{\text{10 km}}[/tex]
Upon substituting our given values in above proportion, we will get:
[tex]\frac{x}{25\text{ km}}=\frac{3\text{ cm}}{\text{10 km}}[/tex]
[tex]\frac{x}{25\text{ km}}\cdot 25\text{ km}=\frac{3\text{ cm}}{\text{10 km}}\cdot 25\text{ km}[/tex]
[tex]x=\frac{3\text{ cm}}{2}\cdot 5[/tex]
[tex]x=\frac{15}{2}\text{ cm}[/tex]
[tex]x=7.5\text{ cm}[/tex]
Therefore, 7.5 centimeters on the map represents an actual distance of 25 kilometers.
