In a map scale, 1 inch represents 5 miles. If two cities are 15 inches apart on the map, how many miles apart are they in reality? The distance between the two cities is ______ miles.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply cross-multiplication to a real-world problem involving map scales. The given proportion is .
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: , so .
Step-by-step Solution
1. Set up the proportion:
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