1. Problem: Find the scale factor for a model car 12 inches long representing a 192-inch-long car. 2. Formula: Scale factor = \frac{Model\ length}{Actual\ length} 3. Calculation for 19: $$\text{Scale factor} = \frac{12}{192} = \frac{\cancel{12}}{\cancel{192}} = \frac{1}{16}$$ 4. Calculation for 20: Road 99 miles drawn as 3 inches. $$\text{Scale factor} = \frac{3}{99} = \frac{\cancel{3}}{\cancel{99}} = \frac{1}{33}$$ 5. Calculation for 21: Room 18 feet wide drawn as 1.5 inches. $$\text{Scale factor} = \frac{1.5}{18} = \frac{\cancel{1.5}}{\cancel{18}} = \frac{1}{12}$$ 6. Calculation for 22: Road 54 miles drawn as \frac{3}{4} inches. $$\text{Scale factor} = \frac{\frac{3}{4}}{54} = \frac{3}{4} \times \frac{1}{54} = \frac{3}{216} = \frac{\cancel{3}}{\cancel{216}} = \frac{1}{72}$$ 7. Calculation for 23: Lake 12.5 miles drawn as 0.5 inch. $$\text{Scale factor} = \frac{0.5}{12.5} = \frac{\cancel{0.5}}{\cancel{12.5}} = \frac{1}{25}$$ 8. Calculation for 24: Coin 18 mm diameter drawn as 72 mm. $$\text{Scale factor} = \frac{72}{18} = \frac{\cancel{72}}{\cancel{18}} = 4$$ 9. For 25-27, without map distances given, cannot calculate exact scale factors or distances. 10. For 29-34, missing data prevents calculation. Final answers for 19-24 scale factors: 19. $\frac{1}{16}$ 20. $\frac{1}{33}$ 21. $\frac{1}{12}$ 22. $\frac{1}{72}$ 23. $\frac{1}{25}$ 24. $4$ Note: Problems 25-34 lack sufficient data for solution.