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.
Map Scale 7Ab2F9
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