Subjects algebra

Cost Per Mile

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1. **Problem Statement:** We are given a graph showing the cost to rent a moving truck for one day, depending on the distance driven in miles. The cost increases by the same amount per mile. We need to find how much each additional mile costs. 2. **Understanding the Problem:** The cost increases linearly with distance, so the cost per mile is the slope of the line connecting the points on the graph. 3. **Formula for Slope:** The slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ This represents the change in cost divided by the change in miles. 4. **Select Two Points from the Graph:** From the data points given: - Point 1: $(10, 54)$ - Point 2: $(20, 63)$ 5. **Calculate the Slope:** $$m = \frac{63 - 54}{20 - 10} = \frac{9}{10} = 0.9$$ 6. **Interpretation:** The cost increases by 0.9 dollars for each additional mile driven. **Final Answer:** Each additional mile costs **0.9** dollars.