https://file.aiquickdraw.com/mathbot/file/1726113862355ygfcczu9.jpg

The problem shows that Brody is planning to drive from City X to City Y, and the scale of the drawing is given as ½ inch = 8 miles. The distance on the scale drawing is 3 inches.

To calculate the actual distance between the two cities, we can use the scale provided.

### Steps:
1. The scale is ½ inch = 8 miles.
2. To find how many miles correspond to 1 inch, divide 8 miles by ½:
   \[
   1 \text{ inch} = \frac{8}{0.5} = 16 \text{ miles}.
   \]
3. Now, since the distance on the map is 3 inches, multiply the number of miles per inch (16 miles) by the 3 inches:
   \[
   \text{Distance} = 16 \times 3 = 48 \text{ miles}.
   \]

### Conclusion:
The actual distance between the two cities is **48 miles**.

Would you like more details or have any questions? Here are five related questions:

1. How would the answer change if the scale was 1 inch = 10 miles?
2. What if the distance on the map was 4.5 inches, what would be the actual distance?
3. How do you convert a different scale (e.g., 1 cm = 5 miles) into inches?
4. If Brody drives at an average speed of 60 miles per hour, how long will the trip take?
5. How would you calculate the distance if the map used kilometers instead of miles?

**Tip:** Always check if the scale is in inches or centimeters before calculating the actual distance.

Brody is planning to drive from City X to City Y. The scale drawing shows the distance between the two cities with a scale of ½ inch = 8 miles. The distance on the drawing is 3 inches. What is the actual distance between the two cities?

Solve a scale word problem involving a drive from City X to City Y. The problem uses a scale of ½ inch = 8 miles, and the distance measured on the drawing is 3 inches. Learn to convert this to the actual distance in miles using simple proportion calculations. Suitable for Grades 6-8.

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