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**.
Rate Change Aafb9F
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.