Qasim 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 = 10 miles.
City X
City Y
5 in.
What is the actual distance between the two cities?
Answer
Attempt 1 out of 2

To find the actual distance between City X and City Y, we can use the given scale of ½ inch = 10 miles and the length between the cities on the map.

### Given:
- The scale is ½ inch = 10 miles.
- The distance between City X and City Y on the map is 5 inches.

### Steps:
1. First, determine how many ½ inches are in 5 inches:
   \[
   \frac{5}{\frac{1}{2}} = 5 \times 2 = 10 \text{ (half-inches)}
   \]
2. Since each ½ inch represents 10 miles, multiply the number of half-inches by 10:
   \[
   10 \times 10 = 100 \text{ miles}
   \]

### Conclusion:
The actual distance between City X and City Y is **100 miles**.

Would you like any additional details or clarification on this?

Here are five related questions you might find useful:
1. If the distance was 4 inches on the map, what would the actual distance be?
2. How would the answer change if the scale was 1 inch = 20 miles?
3. If the scale were ½ inch = 15 miles, what would be the actual distance?
4. How can we calculate the actual distance if we know the scale and a fractional measurement on the map?
5. How do you convert distances on a map to real-world distances?

**Tip:** Always check the scale of a map carefully when interpreting distances; even small changes in the scale can significantly affect the actual distances.

Qasim 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 = 10 miles. City X to City Y is 5 in. What is the actual distance between the two cities?

Learn how to calculate the actual distance between City X and City Y using a scale of ½ inch = 10 miles. The problem involves proportional reasoning and scaling concepts, making it perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation