A map scale indicates that 3 cm on the map represents 15 km in reality. If a distance on the map is 6 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 a real-world problem involving a map scale. The problem requires the student to set up and solve a proportion based on the given scale.
Key Concept Explanation
Cross-multiplication is a method used 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.
Step-by-step Solution
1. Set up the proportion based on the map scale:
2. Cross-multiply:
3. Simplify:
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