Subjects geometry

Map Distance 8854Cd

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1. **State the problem:** We need to find the scale factor to convert map distances to actual distances, and then use it to find the actual distance from Osc's campsite to the general store. 2. **Identify the scale:** The map scale is given as 4 inches on the map equals 2 miles in reality. 3. **Write the scale factor:** $$\text{Scale factor} = \frac{\text{actual distance}}{\text{map distance}} = \frac{2 \text{ miles}}{4 \text{ inches}} = \frac{2}{4} = \frac{1}{2}$$ 4. **Interpret the scale factor:** This means each inch on the map represents $\frac{1}{2}$ mile in actual distance. 5. **Find the map distance from Osc's campsite to the general store:** The map distance is 3 inches. 6. **Calculate the actual distance:** $$\text{Actual distance} = \text{map distance} \times \text{scale factor} = 3 \times \frac{1}{2} = \frac{3}{2} = 1.5$$ 7. **Final answer:** The actual distance from Osc's campsite to the general store is 1.5 miles.