1. **State the problem:** We have a scale model where 1 centimeter represents 7 inches. (a) Find the length of the television in the scale model if the real television is 63 inches long. (b) Find the height of the real television if the scale model height is 5 centimeters. 2. **Formula and rules:** The scale ratio is given as: $$1\text{ cm} : 7\text{ in}$$ This means every 1 cm in the model corresponds to 7 inches in reality. To convert from real size to model size: $$\text{model size} = \frac{\text{real size}}{7}$$ To convert from model size to real size: $$\text{real size} = 7 \times \text{model size}$$ 3. **Solve part (a):** Given real length = 63 inches. Calculate model length: $$\text{model length} = \frac{63}{7}$$ Show cancellation: $$\text{model length} = \frac{\cancel{63}}{\cancel{7}} = 9$$ So, the length of the television in the scale model is 9 centimeters. 4. **Solve part (b):** Given model height = 5 centimeters. Calculate real height: $$\text{real height} = 7 \times 5 = 35$$ So, the height of the real television is 35 inches. **Final answers:** (a) 9 centimeters (b) 35 inches