Question

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Part 1
The distance between City A and City B is 250 miles. A length of 1.9 feet represents this distance on a certain wall map. City C and City D are 3.42 feet apart on this map. What is the actual distance between City C and City​ D?
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Part 1
The actual distance between City C and City D is
  
enter your response here miles.

Answer 1

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

1. The actual distance between City A and City B is 250 miles, and this distance is represented by 1.9 feet on the map.

We can establish the scale (miles per foot) as follows:

\[
\text{Scale} = \frac{\text{Actual distance}}{\text{Map distance}} = \frac{250 \text{ miles}}{1.9 \text{ feet}} \approx 131.58 \text{ miles/foot}
\]

2. Now, City C and City D are 3.42 feet apart on the map. To find the actual distance between them, we can multiply the map distance by the scale:

\[
\text{Actual distance between City C and City D} = \text{Map distance} \times \text{Scale}
\]
\[
\text{Actual distance} = 3.42 \text{ feet} \times 131.58 \text{ miles/foot} \approx 451.00 \text{ miles}
\]

Hence, the actual distance between City C and City D is approximately **451 miles**.