Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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 table accurately represents a car that first increases its speed and then decreases it, we need to analyze the data in each table and check if there is an initial increase followed by a decrease.

Let's examine each table one by one.

### 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]
- From 5 to 7 minutes: [tex]\( 45 \rightarrow 43 \rightarrow 41 \)[/tex] (decreasing)
- From 7 to 9 minutes: [tex]\( 41 \rightarrow 42 \rightarrow 43 \)[/tex] (increasing)

This table shows the speed first decreasing and then increasing, which does not match the required pattern.

### 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]
- From 5 to 7 minutes: [tex]\( 45 \rightarrow 47 \rightarrow 49 \)[/tex] (increasing)
- From 7 to 9 minutes: [tex]\( 49 \rightarrow 48 \rightarrow 47 \)[/tex] (decreasing)

This table shows the speed first increasing and then decreasing, which matches the required pattern.

### 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]
- From 5 to 7 minutes: [tex]\( 45 \rightarrow 45 \rightarrow 45 \)[/tex] (constant)
- From 7 to 9 minutes: [tex]\( 45 \rightarrow 43 \rightarrow 41 \)[/tex] (decreasing)

This table shows the speed first being constant and then decreasing, which does not match the required pattern.

### 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]
- From 5 to 7 minutes: [tex]\( 45 \rightarrow 43 \rightarrow 41 \)[/tex] (decreasing)
- From 7 to 9 minutes: [tex]\( 41 \rightarrow 41 \rightarrow 41 \)[/tex] (constant)

This table shows the speed first decreasing and then being constant, which does not match the required pattern.

### Conclusion
The table that shows the speed of the car 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 table is the second table.
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.