Question
The map's fractional scale is \( 1: 4,435,200 \). What does this mean? Select the correct statement below. 1 inch on the map is equal to \( 4,435,200 \) miles on the ground 1 meter on the map is \( 4,435,200 \) meters on the ground. 10 latitude is equal to \( 4,435,200 \) latitudes on Earth
Ask by Hardy Black. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
1 meter on the map is equal to 4,435,200 meters on the ground.
Solution
A map's fractional scale of \( 1:4,435,200 \) means that **1 unit of measurement on the map is equal to 4,435,200 of the same units on the ground**. This scale is unitless, so whatever unit you choose (inches, meters, centimeters, etc.), it must be consistent on both the map and the ground.
Let's evaluate the given options:
1. **1 inch on the map is equal to \( 4,435,200 \) miles on the ground.**
- **Incorrect.** The units must match on both sides of the scale. Here, inches are being compared to miles, which are different units.
2. **1 meter on the map is \( 4,435,200 \) meters on the ground.**
- **Correct.** Both sides of the scale use the same unit (meters), maintaining consistency.
3. **10 latitude is equal to \( 4,435,200 \) latitudes on Earth.**
- **Incorrect.** This statement is confusing and doesn't correctly apply the concept of a fractional scale.
**Therefore, the correct statement is:**
**2. 1 meter on the map is 4,435,200 meters on the ground.**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
The fractional scale \( 1: 4,435,200 \) means that 1 unit of measurement on the map represents 4,435,200 of the same units on the ground. So, if you were using inches, then 1 inch on the map would equal \( 4,435,200 \) inches in the real world, which converts to approximately \( 70,000 \) miles! To clarify the confusion with the options provided: the correct interpretation is that 1 unit (whether it's inches, meters, or any other measurement) on the map translates to 4,435,200 of those same units on Earth. However, none of the statements are precisely accurate; if we were to convert inches to miles or meters to meters, we'd need to clarify the units!
