Subjects algebra

Rate Change Aafb9F

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1. **State the problem:** We need to find the rate of change of record obstacle course completion times between the years 2014 and 2017. 2. **Identify the data points:** From the graph description: - In 2014, the time was 25 minutes. - In 2017, the time was 21 minutes. 3. **Formula for rate of change:** $$\text{Rate of change} = \frac{\text{Change in time}}{\text{Change in years}} = \frac{y_2 - y_1}{x_2 - x_1}$$ 4. **Apply the values:** $$\frac{21 - 25}{2017 - 2014} = \frac{-4}{3}$$ 5. **Simplify the fraction:** $$\frac{\cancel{-4}}{\cancel{3}} = -1.333...$$ 6. **Round to the nearest tenth:** $$-1.3$$ 7. **Interpretation:** The record time decreased by approximately 1.3 minutes per year between 2014 and 2017. **Final answer:** The rate of change is **-1.3 minutes per year**.