A map scale indicates that 2 cm on the map represents 10 km in reality. If a distance on the map is 8 cm, what is the actual distance in kilometers? The actual distance is ______ km.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply cross-multiplication to solve a real-world problem involving a map scale. The problem requires setting up a proportion and solving for the unknown distance.
Key Concept Explanation
Cross-multiplication is a method to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal. This transforms the proportion into a simple equation, making it easier to solve for an unknown variable.
Step-by-step Solution
1. Set up the proportion:
2. Cross-multiply:
3. Simplify the right side:
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