Subjects algebra

Slope Interpretation

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1. **Problem Statement:** We are given a graph showing the number of cars remaining in a parking lot over time after a baseball game. The vertical axis shows cars in hundreds, and the horizontal axis shows time in minutes. The line slopes downward from 9 (900 cars) at 0 minutes to 0 (0 cars) at 80 minutes. 2. **Understanding the slope:** The slope of a line on a graph is calculated as the change in the vertical axis divided by the change in the horizontal axis. Here, slope $m = \frac{\Delta y}{\Delta x}$ where $y$ is cars (in hundreds) and $x$ is time (in minutes). 3. **Calculate the slope:** $$m = \frac{0 - 9}{80 - 0} = \frac{-9}{80} = -0.1125$$ This means the number of cars decreases by 0.1125 hundreds per minute. 4. **Interpretation:** Since the vertical axis is in hundreds of cars and the horizontal axis is in minutes, the slope represents the rate of change of cars per minute. 5. **Answer:** The slope represents "cars per minute" (option C).