Final answer:
To calculate the actual distance corresponding to 3.8 cm on the map, set up a proportion based on the scale 1 cm = 250 km and solve for x, resulting in an actual distance of 950 km.
Step-by-step explanation:
The question involves finding the actual distance on a map given a certain scale. To solve this, we first write the given scale as a ratio:
1 cm = 250 km
Next, we write a similar ratio using the map distance to find the actual distance:
3.8 cm = x km
We can now set up a proportion:
1 cm / 250 km = 3.8 cm / x km
Solving the proportion by cross-multiplication gives us:
x = 3.8 cm * 250 km/cm
x = 950 km
Therefore, the actual distance that corresponds to 3.8 cm on the map is 950 km.