Final answer:
The actual distances corresponding to map distances of 3.5cm and 15cm on a scale of 1cm: 9km are 31.5 kilometers and 135 kilometers, respectively.
Step-by-step explanation:
To find the actual distances for a map scale of 1cm: 9km, we use the given scale as a conversion factor. We convert each map distance to actual distance by multiplying the map distance by the scale factor.
- For a map distance of 3.5cm, we calculate the actual distance by multiplying 3.5cm by 9km to get the answer in kilometers:
3.5cm × 9km/cm = 31.5km
- For a map distance of 15cm, we again multiply the map distance by the scale factor to find the actual distance:
15cm × 9km/cm = 135km
Therefore, for a map distance of 3.5cm, the actual distance is 31.5 kilometers, and for a map distance of 15cm, the actual distance is 135 kilometers.