(x) Jenna measured a house and made a scale drawing. The dining room is 10 centimeters long in the drawing. The actual dining room is 8 meters long. What is the drawing's scale factor? Submit answer and write it as a fraction.

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To find the scale factor of Jenna's drawing, we need to compare the length of the dining room in the drawing to its actual length.

1. **Convert the actual length to the same unit as the drawing**: 
   - The actual dining room length is 8 meters. Since 1 meter equals 100 centimeters, we convert 8 meters to centimeters:
   $$
   8 \text{ meters} = 8 \times 100 \text{ centimeters} = 800 \text{ centimeters}
   $$

2. **Set up the scale factor**: 
   - The scale factor is the ratio of the length in the drawing to the actual length. Therefore, we have:
   $$
   \text{Scale Factor} = \frac{\text{Length in Drawing}}{\text{Actual Length}} = \frac{10 \text{ cm}}{800 \text{ cm}}
   $$

3. **Simplify the fraction**:
   - To simplify $$\frac{10}{800}$$, we divide both the numerator and the denominator by 10:
   $$
   \frac{10 \div 10}{800 \div 10} = \frac{1}{80}
   $$

Thus, the drawing's scale factor is $$\frac{1}{80}$$.
The drawing's scale factor is $$\frac{1}{80}$$.

(x) Jenna measured a house and made a scale drawing. The dining room is 10 centimeters long in the drawing. The actual dining room is 8 meters long. What is the drawing's scale factor? Submit answer and write it as a fraction.

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