Subjects measurement

Map Scale 7Ab2F9

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1. **State the problem:** Oscar has a map where 4 inches represent 2 miles. We want to find the multiplier to convert map inches to actual miles and then find the actual distance from campsite 4A to the beach, given the map distance. 2. **Find the scale multiplier:** The scale is 4 inches = 2 miles. To find how many miles 1 inch represents, divide both sides by 4: $$\frac{\cancel{4} \text{ in}}{\cancel{4}} = \frac{2 \text{ mi}}{4}$$ which simplifies to $$1 \text{ in} = \frac{2}{4} \text{ mi} = \frac{1}{2} \text{ mi}$$ 3. **Interpret the multiplier:** This means each inch on the map corresponds to $\frac{1}{2}$ mile in reality. 4. **Calculate actual distance from 4A to 4B:** The map shows 2 1/2 inches from 4A to 4B. Convert mixed number to improper fraction: $$2 \frac{1}{2} = \frac{5}{2} \text{ inches}$$ Multiply by the scale factor: $$\frac{5}{2} \times \frac{1}{2} = \frac{5}{4} = 1.25 \text{ miles}$$ 5. **Calculate actual distance from 4A to General Store:** Map distance is 3 inches. Multiply by scale factor: $$3 \times \frac{1}{2} = \frac{3}{2} = 1.5 \text{ miles}$$ **Final answers:** - Multiply each map length by $\frac{1}{2}$ to get actual distance. - Actual distance from 4A to 4B is 1.25 miles. - Actual distance from 4A to General Store is 1.5 miles.