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: $$\text{Scale factor} = \frac{12}{192}$$ 4. Simplify: $$\frac{12}{192} = \frac{\cancel{12}^1}{\cancel{12}^{16}} = \frac{1}{16}$$ 5. Explanation: The scale factor is 1:16, meaning the model is 1/16 the size of the actual car. This is the first problem solved as per instructions.