To determine which table represents the car's speed when it both increases and then decreases, let's analyze the data from each table step by step.
### Table 1:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 43 | 41 | 42 | 43 |
- Time 5 to 6: Speed decreases from 45 to 43.
- Time 6 to 7: Speed decreases from 43 to 41.
- Time 7 to 8: Speed increases from 41 to 42.
- Time 8 to 9: Speed increases from 42 to 43.
In this table, the speed initially decreases, then increases.
### Table 2:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 47 | 49 | 48 | 47 |
- Time 5 to 6: Speed increases from 45 to 47.
- Time 6 to 7: Speed increases from 47 to 49.
- Time 7 to 8: Speed decreases from 49 to 48.
- Time 8 to 9: Speed decreases from 48 to 47.
In this table, the speed initially increases, then decreases.
### Table 3:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 45 | 45 | 43 | 41 |
- Time 5 to 6: Speed remains constant at 45.
- Time 6 to 7: Speed remains constant at 45.
- Time 7 to 8: Speed decreases from 45 to 43.
- Time 8 to 9: Speed decreases from 43 to 41.
In this table, the speed remains constant initially and then decreases.
### Table 4:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 43 | 41 | 41 | 41 |
- Time 5 to 6: Speed decreases from 45 to 43.
- Time 6 to 7: Speed decreases from 43 to 41.
- Time 7 to 8: Speed remains constant at 41.
- Time 8 to 9: Speed remains constant at 41.
In this table, the speed only decreases and then remains constant.
### Conclusion
We need to find a table where the car's speed first increases and then decreases.
- In Table 2, the speed first increases from 45 to 49, then decreases from 49 to 47, which matches the required pattern of speed behavior.
Therefore, the table that could represent the car's speed, when it increases and then decreases, is:
Table 2
