https://file.aiquickdraw.com/mathbot/file/1727474589125k1wdqijo.jpg

The problem provided involves scaling in order to find the actual distance between two cities based on a given scale.

Here’s how to solve it:

### Given:
- The scale is \( \frac{1}{2} \) inch = 16 miles.
- The distance on the drawing between City X and City Y is 2 inches.

### Solution:
We need to find how many miles correspond to the 2 inches on the map using the given scale.

1. If \( \frac{1}{2} \) inch = 16 miles, then 1 inch = \( 16 \times 2 = 32 \) miles.
2. Therefore, 2 inches = \( 32 \times 2 = 64 \) miles.

### Final Answer:
The actual distance between City X and City Y is **64 miles**.

Would you like further details on how scaling works, or any related questions? Here are some relative questions to think about:

1. What if the scale was \( \frac{1}{4} \) inch = 16 miles? How would that change the solution?
2. How would you solve this if the distance between the cities was 3 inches on the map?
3. Can you convert the scale into kilometers, assuming 1 mile = 1.60934 kilometers?
4. How do scales change for smaller versus larger maps, such as city maps versus world maps?
5. If you knew the real distance between two cities, how would you create a scale for a map?

**Tip**: Always multiply the actual map distance by the scale factor to convert map measurements to real-world distances.

Idil is planning to drive from City X to City Y. The scale drawing shows the distance between the two cities with a scale of 1/2 inch = 16 miles. The distance on the drawing between the cities is 2 inches. What is the actual distance between the two cities?

Learn how to calculate the actual distance between two cities based on a scale drawing with a scale of 1/2 inch = 16 miles. The drawing distance between City X and City Y is 2 inches, and we use scale ratios and proportions to find the real-world distance.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation