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The scale of a road map indicates that 4 cm is equal to 30 km. How do you calculate the distance between two cities if the road between them is 10 cm long?

Answer 1

Autumn Arnold

The distance between two cities is #75# #kms.#

As a road of #4# #cm.# on road map indicates a road of length equal to #30# #km.#

Each #cm.# on map indicates #30/4=7.5# #kms.#

Hence a distance of #10# #cm.# between two cities on the map indicates

#7.5xx10=75# #kms.#

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Answer 2

Riley Anderson

To calculate the distance between the two cities if the road between them is 10 cm long on the map, you would use the scale provided. Since 4 cm on the map represents 30 km in reality, you can set up a proportion to find the actual distance:

4 cm on the map is to 30 km in reality as 10 cm on the map is to x km in reality.

Using this proportion, you can solve for x:

(4 cm / 30 km) = (10 cm / x km)

Cross-multiplying:

4 * x = 30 * 10

Solving for x:

x = (30 * 10) / 4

x = 300 / 4

x = 75 km

So, the actual distance between the two cities is 75 km.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.