Train Speed
1. The problem asks for the average speed of the train between 30 and 40 minutes.
2. Average speed is calculated by the change in distance divided by the change in time:
$$\text{Average speed} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$$
3. From the graph description, at $x=30$ minutes, the distance $y_1$ is about 7.5 miles.
4. At $x=40$ minutes, the distance $y_2$ is 0 miles.
5. Substitute values:
$$\frac{0 - 7.5}{40 - 30} = \frac{-7.5}{10} = -0.75$$
6. This means the average speed is $-0.75$ miles per minute, indicating the train was moving toward the station.
7. Note: The user mentioned -1.5, but based on the described graph points, the average speed calculates to -0.75 miles per minute.
8. Final answer: The average speed during 30 to 40 minutes is $-0.75$ miles per minute.