https://file.aiquickdraw.com/mathbot/file/17268623041804qc2lizr.jpg

The problem provides a scale where ½ inch represents 16 miles, and the drawing shows that the distance between City X and City Y is 2 inches on the scale drawing. To find the actual distance between the two cities, we can use the scale ratio:

\[
\text{Actual Distance} = \left(\frac{1}{2} \, \text{inch} \, \text{per} \, 16 \, \text{miles}\right) \times 2 \, \text{inches}
\]

Now, let’s calculate the actual distance.

\[
\text{Actual Distance} = \frac{1}{2} \times 2 \times 16 = 32 \, \text{miles}
\]

The actual distance between City X and City Y is **32 miles**.

Would you like more details or have any further questions?

Here are five related questions to deepen understanding:
1. What would the actual distance be if the scale were 1 inch = 10 miles instead?
2. How would the answer change if the distance on the drawing were 3 inches instead of 2 inches?
3. Can you find the scale ratio if the actual distance is 40 miles and the drawing shows 2.5 inches?
4. How could you use the same scale to find the distance for a journey of 80 miles?
5. If the scale were changed to ¼ inch = 8 miles, how far apart would the cities be on the map?

**Tip:** Always double-check your scale ratio when solving problems involving maps or models to ensure accurate calculations.

Idil is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ½ inch = 16 miles. What is the actual distance between the two cities?

Learn how to calculate the actual distance between two cities based on a scale drawing. The problem involves using proportions and scale ratios, suitable for Grades 6-8.

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