Final answer:
The actual distance between City C and City D is calculated using the scale factor from the map, where 1.5 feet represent a distance of 250 miles. By applying this scale, the 3.9 feet on the map corresponds to an actual distance of 650 miles.
Step-by-step explanation:
The student is asking how to calculate the actual distance between two cities based on their separation on a map. We are given that on a wall map, 1.5 feet represent a distance of 250 miles. We are also told that two other cities, City C and City D, are 3.9 feet apart on this map.
To find out the actual distance between City C and City D, we use the scale of the map. First, we calculate the scale factor:
The scale factor is the ratio between the map distance and the actual distance.
For City A to City B: 1.5 feet = 250 miles. So, 1 foot would represent ÷ miles (250 miles / 1.5 feet).
Next, we apply this scale factor to the distance between City C and City D:
Multiply the distance on the map (3.9 feet) by the number of miles 1 foot represents. This will give us the actual distance in miles.
The calculation: 3.9 feet x (250 miles / 1.5 feet) = 650 miles.
Therefore, the actual distance between City C and City D is 650 miles.