Final answer:
Without the map's scale, it is not possible to determine what distance on the map represents an actual distance of 4 kilometers. If the scale was provided, such as 1 cm = 1 km, we could use a proportion to calculate the map distance representing 4 kilometers. However, the question lacks this detail, and therefore no accurate answer can be given.
Step-by-step explanation:
To determine what distance on the map represents an actual distance of 4 kilometers, we need to understand the map's scale. This level of detail was not provided in the question, which means it's not possible to provide a definitive answer without additional information, such as the scale ratio of the map. For example, if the scale was 1 cm = 1 km, then 4 km would be represented by 4 cm on the map. If the scale was 2.5 cm = 80 m (as indicated in Example 4.8.1.1), we would need to set up a proportion to solve for the distance on the map that represents 4 kilometers. However, without knowing the scale used on the map, selecting one of the provided options (A, B, C, or D) would be guessing.
If we had the map's scale, we could use a proportion to find the answer. For instance, with a scale of 1 cm = 1 km, we could set up the following proportion to find the map distance (x) for 4 km: 1 cm / 1 km = x cm / 4 km. We would then cross-multiply and divide to solve for x. In this case, x would simply be 4 cm.