1. **State the problem:** We need to find the number to multiply each distance on the map (in cm) to get the actual distance (in km). 2. **Identify the scale:** The scale given is 3 cm on the map equals 1.5 km in reality. 3. **Write the scale as a ratio:** $$\frac{3 \text{ cm}}{1.5 \text{ km}}$$ 4. **Find the multiplier:** To find the actual distance for any map distance $d$ cm, multiply by the factor $k$ where $$k = \frac{1.5 \text{ km}}{3 \text{ cm}}$$ 5. **Simplify the multiplier:** $$k = \frac{1.5}{3} = 0.5$$ 6. **Interpretation:** Multiply each map distance by 0.5 to get the actual distance in km. **Example:** - Waterfall to Parking: $6 \text{ cm} \times 0.5 = 3 \text{ km}$ - Parking to Picnic Area: $9 \text{ cm} \times 0.5 = 4.5 \text{ km}$ - Parking to Ranger Tower: $3 \text{ cm} \times 0.5 = 1.5 \text{ km}$ **Final answer:** Multiply each distance on the map by **0.5** to find the actual distance in kilometers.