To find the actual distance between City C and City D based on the map distances, we first need to determine the scale of the map.
The distance between City A and City B is given as 200 miles, which is represented by 1.5 feet on the map. We can calculate the scale as follows:
\[ \text{Scale} = \frac{\text{Actual distance}}{\text{Map distance}} = \frac{200 \text{ miles}}{1.5 \text{ feet}} \]
To simplify this, we'll find how many miles are represented per foot on the map:
\[ \text{Scale} = \frac{200 \text{ miles}}{1.5 \text{ feet}} \approx 133.33 \text{ miles per foot} \]
Now, we need to find the actual distance between City C and City D, which is given as 2.25 feet on the map. We can use the scale we just calculated to find the actual distance:
\[ \text{Actual distance} = \text{Map distance} \times \text{Scale} = 2.25 \text{ feet} \times 133.33 \text{ miles per foot} \]
Calculating this gives:
\[ \text{Actual distance} \approx 2.25 \times 133.33 \approx 300 \text{ miles} \]
Therefore, the actual distance between City C and City D is 300 miles.