To model Miguel's travel time and distance accurately, let's break down his journey:
1. **Skateboarding to the bus stop**: This part involves accelerating and moving quickly. The graph would start at the origin (0,0) and show an increasing line as he rides.
2. **Waiting for the bus**: When he waits, the distance remains constant while time passes, leading to a horizontal line on the graph.
3. **Riding the bus to the mall**: He will travel a significant distance while on the bus, which typically occurs at a faster pace than skateboarding, so this part of the graph will also show an increasing line, likely at a steeper slope than when he skateboarded.
4. **Walking across the parking lot**: This part will again show an increase in distance as he reaches the mall entrance.
In summary, the phases of his journey would be:
- Increase (skateboarding)
- Constant (waiting for the bus)
- Increase (riding the bus)
- Increase (walking to the entrance)
Among the given options, the graph that fits this description is:
**A graph has time on the x-axis and distance on the y-axis. The graph increases, is constant, increases, is constant, and then increases slightly.**
This choice captures all the phases of Miguel's journey, including the waiting period and the walking after getting off the bus at the mall.