Which scale representation is equivalent to one centimeter equals ten kilometers?

To determine the correct scale representation of one centimeter equaling ten kilometers, we first need to interpret what this relationship means. If one centimeter on a map corresponds to ten kilometers in the real world, it indicates that for every 1 cm measured on the map, that distance is equivalent to 10,000 meters (since there are 1,000 meters in a kilometer).

Now, in terms of map scale, the representation of a distance can be expressed as a ratio or fraction. In this case, the conversion can be expressed as:

1 cm = 10,000 m, which translates to the scale ratio of 1 : 1,000,000. This is because:

1 cm on the map is equivalent to 10 kilometers (or 10,000 meters) in reality, which means that 1 cm is representative of 1,000,000 cm (since there are 100 cm in a meter, multiplying those gives us the conversion to centimeters).

Thus, the correct answer, indicating that one centimeter on the map corresponds to ten kilometers in reality, is indeed 1:1,000,000. This scale ratio accurately reflects the real-world distance represented per unit of measurement on the map.