Question

Michel is driving from San Diego to San Francisco, a distance of 822 kilometers. He is using a map with a scale of 1 centimeter = 200 kilometers. What distance on the map represents the distance between the two cities?

A. 4.11 cm
B. 4.11 mm
C. 8.22 cm
D. 8.22 mm

Answer 1

The map distance that represents the actual distance of 822 kilometers between San Diego and San Francisco, using a map scale of 1 cm = 200 km, is 4.11 cm (Option A).

Step-by-step explanation:

Michel is driving from San Diego to San Francisco, a distance of 822 kilometers. He is using a map with a scale of 1 centimeter = 200 kilometers. To find the distance on the map that represents the actual distance between the two cities, we use the scale ratio.

First, we set up a proportion based on the given scale:

1 cm : 200 km (map scale)

Now, we use the actual distance to find the map distance:

x cm : 822 km (actual distance)

We cross-multiply and solve for 'x', the distance on the map:

1 cm / 200 km = x cm / 822 km

200 km × x = 822 km × 1 cm

200x = 822

x = 822 / 200

x = 4.11 cm

Therefore, the distance on the map that represents the distance between San Diego and San Francisco is 4.11 centimeters (Option A).