1. **State the problem:** We need to calculate the average speed of the runner between 4 seconds and 14 seconds based on the distance-time graph. 2. **Recall the formula for average speed:** $$\text{Average speed} = \frac{\text{Change in distance}}{\text{Change in time}} = \frac{\Delta d}{\Delta t}$$ 3. **Identify the points on the graph:** At $t=4$ seconds, distance $d_1 \approx 6$ meters. At $t=14$ seconds, distance $d_2 \approx 30$ meters. 4. **Calculate the change in distance and time:** $$\Delta d = d_2 - d_1 = 30 - 6 = 24$$ $$\Delta t = 14 - 4 = 10$$ 5. **Calculate the average speed:** $$\text{Average speed} = \frac{24}{10} = 2.4$$ 6. **Interpretation:** The average speed of the runner between 4 and 14 seconds is $2.4$ meters per second.