On a map, distance in km and distance in cm varies directly, and 25 km are represented by 2cm. If two cities
are 7cm apart on the map, what is the actual distance between them?

Respuesta :

Answer:

87.5km

Step-by-step explanation:

We can create an equation to represent what 1 cm on the map is.

[tex]2cm = 25km\\1cm = 12.5km\\[/tex]

Now that we know what 1 cm is, we can multiply both sides by 7 to get the actual distance in km.

[tex]1cm * 7 = 12.5km * 7\\7cm = 87.5km[/tex]

Based on the scale used, we can calculate that the actual distance between the cities is 87.5km.

First find what 1 cm represents on the ground:

= Number of kilometers / Number of centimeters

= 25 / 2

= 12.5 km

If there are 7 cm, the distance would be:

= Distance in cm x scale

= 7 x 12.5

= 87.5 km

In conclusion, the actual distance is 87.5 km.

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