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A car increases, then decreases, its speed. Which table could represent the speed of the car?

\begin{tabular}{|l|c|c|c|c|c|}
\hline
Time (min) & 5 & 6 & 7 & 8 & 9 \\
\hline
Speed (mph) & 45 & 43 & 41 & 42 & 43 \\
\hline
\end{tabular}

\begin{tabular}{|l|c|c|c|c|c|}
\hline
Time (min) & 5 & 6 & 7 & 8 & 9 \\
\hline
Speed (mph) & 45 & 47 & 49 & 48 & 47 \\
\hline
\end{tabular}

\begin{tabular}{|l|c|c|c|c|c|}
\hline
Time (min) & 5 & 6 & 7 & 8 & 9 \\
\hline
Speed (mph) & 45 & 45 & 45 & 43 & 41 \\
\hline
\end{tabular}

\begin{tabular}{|l|c|c|c|c|c|}
\hline
Time (min) & 5 & 6 & 7 & 8 & 9 \\
\hline
Speed (mph) & 45 & 43 & 41 & 41 & 41 \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
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.
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