The graph shows the driver's distance from home (in miles) as a function of time (in hours). We are asked to find $f(1.5)$, which represents the distance from home after 1.5 hours.

Looking at the graph, we observe the following:

• At $x = 1$ hour, the distance is approximately 40 miles.
• At $x = 2$ hours, the distance is approximately 60 miles.

The point $x = 1.5$ hours lies between $x = 1$ and $x = 2$, and we can assume the graph is linear between these points. So, we need to interpolate between these values.

Using linear interpolation: $f(1.5) = 40 + \frac{1.5 - 1}{2 - 1} \times (60 - 40)$ $f(1.5) = 40 + 0.5 \times 20 = 40 + 10 = 50$

Thus, $f(1.5) = 50$ miles.

Would you like further clarification or additional details?

Here are 5 related questions:

1. What is $f(3)$ based on the graph?
2. What is the total distance traveled by the driver during the trip?
3. How long did the driver stay at the maximum distance from home?
4. What does $f(5) = 0$ mean in the context of this graph?
5. What is the average speed of the driver between 0 and 2 hours?

Tip: When reading graphs, pay attention to how values change between specific points; this helps with interpolation and understanding trends.