Questions: The distance between City A and City B is 600 mi. On a certain wall map, this is represented by a length of 2.4 ft. On the map, how many feet would there be between City D and City E, two cities that are actually 1000 mi apart? On the map, City D and City E are ft apart. (Simplify your answer. Type an integer or a decimal.)

The distance between City A and City B is 600 mi. On a certain wall map, this is represented by a length of 2.4 ft. On the map, how many feet would there be between City D and City E, two cities that are actually 1000 mi apart?

On the map, City D and City E are ft apart. (Simplify your answer. Type an integer or a decimal.)

Transcript text: The distance between City A and City B is 600 mi . On a certain wall map, this is represented by a length of 2.4 ft . On the map, how many feet would there be between City D and City E , two cities that are actually 1000 mi apart? On the map, City D and City E are $\square$ ft apart. (Simplify your answer. Type an integer or a decimal.)

Solution

Solution Steps

Step 1: Determine the scale of the map

The distance between City A and City B is 600 miles, and this is represented by 2.4 feet on the map. To find the scale, divide the map distance by the actual distance: \[ \text{Scale} = \frac{2.4 \, \text{ft}}{600 \, \text{mi}} = 0.004 \, \text{ft/mi}. \]

Step 2: Calculate the map distance for City D and City E

City D and City E are 1000 miles apart. Using the scale from Step 1, multiply the actual distance by the scale to find the map distance: \[ \text{Map distance} = 1000 \, \text{mi} \times 0.004 \, \text{ft/mi} = 4 \, \text{ft}. \]

Step 3: Present the final answer

On the map, City D and City E are $4$ feet apart.