Subjects algebra

Elevator Slope 4D97Ad

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1. **State the problem:** We need to identify the slope of the line that represents the relationship between the height the elevator rises in feet and the number of floors it passes. 2. **Understand the relationship:** The elevator rises 10 feet per floor. This means for every 1 floor, the elevator goes up 10 feet. 3. **Define slope:** Slope is the rate of change of the vertical variable (height in feet) with respect to the horizontal variable (number of floors). Mathematically, slope $m = \frac{\text{change in height}}{\text{change in floors}}$. 4. **Calculate slope:** Since the elevator rises 10 feet per 1 floor, the slope is $$m = \frac{10}{1} = 10$$ 5. **Interpret unit rate:** The unit rate here is 10 feet per floor, which matches the slope. 6. **Conclusion:** The correct statement is: "The unit rate is 10, so the slope of the line that represents this relationship is 10."