The scale on a map shows that 5 centimeters = 2 kilometers. What number of centimeters on the map represents an actual distance of 5 kilometers?

A. 50 cm

B. 12.5 cm

C. 10.5 cm

D. 2 cm

B.

Step-by-step explanation:

2 kilometer = 5 cm

And

5 km = ? cm

Using unitary method

2 km = 5 cm

1 km = 5/2 cm

1 km = 2.5 cm

Now

Multiplying both sides by 5 we'll get:

5 km = 2.5 * 5 cm

5 km = 12.5 cm

Given that 5 centimeters equals 2 kilometers, we are asked to find how many centimeters equals to 5 kilometers.

So, we know the rate is 5 centimeters is equal to 2 kilometers.

We should find out how many centimeters equals 1 kilometer.

To do this, we can divide 5 centimeters by 2 to find out how many centimeters is 1 kilometer.

5/2 = 2.5

So, the new rate is 2.5cm = 1km.

Then, all we need to do is multiply the new rate by 5 to find out how many centimeters is 5 kilometers.

5 x 2.5 = 12.5

Therefore, 12.5 centimeters equals a distance of 5 kilometers.