1. **State the problem:** We need to find the scale factor to convert map inches to actual miles, and then use it to find the actual distance from Oscar's campsite 4A to the general store.
2. **Given:** 4 inches on the map represents 2 miles in reality.
3. **Find the scale factor:** The scale factor is the number you multiply each length on the map by to get the actual distance.
Formula: $$\text{Scale factor} = \frac{\text{Actual distance}}{\text{Map distance}}$$
4. Substitute the given values:
$$\text{Scale factor} = \frac{2 \text{ miles}}{4 \text{ inches}} = \frac{2}{4} = \frac{\cancel{2} \times 1}{\cancel{2} \times 2} = \frac{1}{2}$$
So, the scale factor is $\frac{1}{2}$ miles per inch.
5. **Find the actual distance from 4A to the general store:** The map distance is 3 inches.
Multiply by the scale factor:
$$3 \text{ inches} \times \frac{1}{2} \text{ miles/inch} = \frac{3}{2} = 1.5 \text{ miles}$$
6. **Answer:**
- The number to multiply each length on the map by is $\frac{1}{2}$.
- The actual distance from Oscar's campsite to the general store is 1.5 miles.
Map Distance Scale 005242
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