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

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

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

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

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

Sagot :

GinnyAnswer
To determine which table represents a car's speed first increasing and then decreasing, you need to examine the speed values in each table.

Here are the steps:

1. List the Speeds:
- Table 1:
[tex]\[ \begin{array}{|l|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 43 & 41 & 42 & 43 \\ \hline \end{array} \][/tex]
- Table 2:
[tex]\[ \begin{array}{|l|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 47 & 49 & 48 & 47 \\ \hline \end{array} \][/tex]
- Table 3:
[tex]\[ \begin{array}{|l|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 45 & 45 & 43 & 41 \\ \hline \end{array} \][/tex]
- Table 4:
[tex]\[ \begin{array}{|l|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 43 & 41 & 41 & 41 \\ \hline \end{array} \][/tex]

2. Check Each Table:
- Table 1: The speeds are [tex]\(45, 43, 41, 42, 43\)[/tex]. Here, the speed decreases first, then increases, then increases again. This one does not fit the required pattern of first increasing then decreasing.
- Table 2: The speeds are [tex]\(45, 47, 49, 48, 47\)[/tex]. Here, the speed increases from 45 to 49 and then decreases from 49 to 47. This one fits the pattern of first increasing then decreasing.
- Table 3: The speeds are [tex]\(45, 45, 45, 43, 41\)[/tex]. Here, the speed remains constant initially and then decreases. This one does not fit the required pattern of first increasing then decreasing.
- Table 4: The speeds are [tex]\(45, 43, 41, 41, 41\)[/tex]. Here, the speed decreases first and then stays constant. This one does not fit the required pattern of first increasing then decreasing.

3. Conclusion:
The table that represents the car's speed first increasing and then decreasing is:

[tex]\[ \begin{array}{|l|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 47 & 49 & 48 & 47 \\ \hline \end{array} \][/tex]

Therefore, the correct answer is the second table.
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