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Sagot :
To determine which tables represent the car's speed increasing and then decreasing, we will analyze each provided table individually.
### Table 1:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 43 | 41 | 42 | 43 |
First, we look at the trend:
- From minute 5 to 6, the speed decreases (45 to 43)
- From minute 6 to 7, the speed decreases again (43 to 41)
- From minute 7 to 8, the speed increases (41 to 42)
- From minute 8 to 9, the speed increases again (42 to 43)
This table shows a decrease initially followed by an increase. Therefore, it does not fit the criteria.
### Table 2:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 47 | 49 | 48 | 47 |
First, we look at the trend:
- From minute 5 to 6, the speed increases (45 to 47)
- From minute 6 to 7, the speed increases again (47 to 49)
- From minute 7 to 8, the speed decreases (49 to 48)
- From minute 8 to 9, the speed decreases again (48 to 47)
This table shows an increase followed by a decrease. Therefore, it fits the criteria.
### Table 3:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 45 | 45 | 43 | 41 |
First, we look at the trend:
- From minute 5 to 6, the speed remains constant (45 to 45)
- From minute 6 to 7, the speed remains constant (45 to 45)
- From minute 7 to 8, the speed decreases (45 to 43)
- From minute 8 to 9, the speed decreases again (43 to 41)
This table shows a constant speed followed by a decrease. Therefore, it does not fit the criteria.
### Table 4:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 43 | 41 | 41 | 41 |
First, we look at the trend:
- From minute 5 to 6, the speed decreases (45 to 43)
- From minute 6 to 7, the speed decreases again (43 to 41)
- From minute 7 to 8, the speed remains constant (41 to 41)
- From minute 8 to 9, the speed remains constant (41 to 41)
This table shows a decrease followed by a constant speed. Therefore, it does not fit the criteria.
### Conclusion
Based on the analysis:
- Table 1 does not fit the criteria.
- Table 2 fits the criteria.
- Table 3 does not fit the criteria.
- Table 4 does not fit the criteria.
Therefore, the tables that represent the car's speed increasing and then decreasing are Table 2.
### Table 1:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 43 | 41 | 42 | 43 |
First, we look at the trend:
- From minute 5 to 6, the speed decreases (45 to 43)
- From minute 6 to 7, the speed decreases again (43 to 41)
- From minute 7 to 8, the speed increases (41 to 42)
- From minute 8 to 9, the speed increases again (42 to 43)
This table shows a decrease initially followed by an increase. Therefore, it does not fit the criteria.
### Table 2:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 47 | 49 | 48 | 47 |
First, we look at the trend:
- From minute 5 to 6, the speed increases (45 to 47)
- From minute 6 to 7, the speed increases again (47 to 49)
- From minute 7 to 8, the speed decreases (49 to 48)
- From minute 8 to 9, the speed decreases again (48 to 47)
This table shows an increase followed by a decrease. Therefore, it fits the criteria.
### Table 3:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 45 | 45 | 43 | 41 |
First, we look at the trend:
- From minute 5 to 6, the speed remains constant (45 to 45)
- From minute 6 to 7, the speed remains constant (45 to 45)
- From minute 7 to 8, the speed decreases (45 to 43)
- From minute 8 to 9, the speed decreases again (43 to 41)
This table shows a constant speed followed by a decrease. Therefore, it does not fit the criteria.
### Table 4:
| Time (min) | 5 | 6 | 7 | 8 | 9 |
|------------|----|----|----|----|----|
| Speed (mph)| 45 | 43 | 41 | 41 | 41 |
First, we look at the trend:
- From minute 5 to 6, the speed decreases (45 to 43)
- From minute 6 to 7, the speed decreases again (43 to 41)
- From minute 7 to 8, the speed remains constant (41 to 41)
- From minute 8 to 9, the speed remains constant (41 to 41)
This table shows a decrease followed by a constant speed. Therefore, it does not fit the criteria.
### Conclusion
Based on the analysis:
- Table 1 does not fit the criteria.
- Table 2 fits the criteria.
- Table 3 does not fit the criteria.
- Table 4 does not fit the criteria.
Therefore, the tables that represent the car's speed increasing and then decreasing are Table 2.
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