the distance between the towns of averton and brackeston is 10km. on a map the distance is 5 cm.
what is the scale of the map in its simplest from?

Respuesta :

Answer:

[tex]\frac{1}{200,000}[/tex]

Step-by-step explanation:

we know that

To find out the scale of the map, divide the distance on the map by the distance in the actual

so

[tex]\frac{5\ cm}{10\ km}=0.5\ \frac{cm}{km}[/tex]

Remember that

[tex]1\ km=100,000\ cm[/tex]

substitute

[tex]\frac{0.5}{100,000}\ \frac{cm}{cm}[/tex]

[tex]\frac{5}{1,000,000}[/tex]

simplify

[tex]\frac{1}{200,000}[/tex]

That means

1 unit on the map represent 200,000 units in the actual

or

1 cm on the map represent 200,000 cm in the actual

1 cm on the map represent 2 km in the actual