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
\hline Time (min) & 5 & 6 & 7 & 8 & 9 \\
\hline Speed (mph) & 45 & 47 & 49 & 48 & 47 \\
\hline
\hline Time (min) & 5 & 6 & 7 & 8 & 9 \\
\hline Speed (mph) & 45 & 45 & 45 & 43 & 41 \\
\hline
\hline Time (min) & 5 & 6 & 7 & 8 & 9 \\
\hline Speed (mph) & 45 & 43 & 41 & 41 & 41 \\
\hline
\end{tabular}



Answer :

To determine which table represents the car's speed increasing and then decreasing, we need to analyze the speed data provided in the tables.

First Table:
```
Time (min) | 5 | 6 | 7 | 8 | 9
Speed (mph) | 45 | 43 | 41 | 42 | 43
```
In this table, the speed decreases from 45 mph to 41 mph and then increases to 43 mph. So, this table shows a pattern where the speed first decreases and then increases.

Second Table:
```
Time (min) | 5 | 6 | 7 | 8 | 9
Speed (mph) | 45 | 47 | 49 | 48 | 47
```
In this table, the speed increases from 45 mph to 49 mph and then decreases to 47 mph. This pattern correctly fits the requirement where the car's speed increases first and then decreases.

Third Table:
```
Time (min) | 5 | 6 | 7 | 8 | 9
Speed (mph) | 45 | 45 | 45 | 43 | 41
```
In this table, the speed remains constant at 45 mph for three minutes and then decreases to 41 mph. This does not show an increasing pattern.

Fourth Table:
```
Time (min) | 5 | 6 | 7 | 8 | 9
Speed (mph) | 45 | 43 | 41 | 41 | 41
```
In this table, the speed decreases from 45 mph to 41 mph and then remains constant. This table does not show any increase in speed.

From this analysis, it is clear that the Second Table represents the scenario described in the question, where the car's speed first increases and then decreases.