Question content area top

Question

Part 1
The distance between City A and City B is 200 miles. A length of 1.6 feet represents this distance on a certain wall map. City C and City D are 2.4 feet apart on this map. What is the actual distance between City C and City​ D?
Question content area bottom
Part 1
The actual distance between City C and City D is
  
enter your response here miles.

Answer 1

To determine the actual distance between City C and City D based on the map, we need to first find the scale of the map.

The scale is given by the ratio of the actual distance between City A and City B to the distance on the map:

1. The actual distance between City A and City B is 200 miles.
2. The distance on the map is 1.6 feet.

So the scale of the map can be expressed as:

\[ \text{Scale} = \frac{\text{Actual Distance}}{\text{Map Distance}} = \frac{200 \text{ miles}}{1.6 \text{ feet}} \]

Next, we can calculate the number of miles per foot:

\[ \text{Scale} = \frac{200 \text{ miles}}{1.6 \text{ feet}} = 125 \text{ miles per foot} \]

Now we need to apply this scale to the distance between City C and City D as indicated on the map:

1. The distance between City C and City D on the map is 2.4 feet.

To convert this to the actual distance:

\[ \text{Actual Distance} = \text{Map Distance} \times \text{Scale} \] \[ \text{Actual Distance} = 2.4 \text{ feet} \times 125 \text{ miles per foot} \] \[ \text{Actual Distance} = 300 \text{ miles} \]

So, the actual distance between City C and City D is \( \boxed{300} \) miles.