Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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 :

To determine which table could represent the speed of the car that increases and then decreases, let's analyze each of the provided tables step by step:

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]
- At 5 minutes: 45 mph
- At 6 minutes: 43 mph (decrease)
- At 7 minutes: 41 mph (decrease)
- At 8 minutes: 42 mph (increase)
- At 9 minutes: 43 mph (increase)

This table does not show a clear/increase then decrease sequence.

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]
- At 5 minutes: 45 mph
- At 6 minutes: 47 mph (increase)
- At 7 minutes: 49 mph (increase)
- At 8 minutes: 48 mph (decrease)
- At 9 minutes: 47 mph (decrease)

This table indicates an increase in speed from 5 to 7 minutes, followed by a decrease from 7 to 9 minutes. Therefore, this table reflects the car speed increasing and then decreasing.

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]
- At 5 minutes: 45 mph
- At 6 minutes: 45 mph (no change)
- At 7 minutes: 45 mph (no change)
- At 8 minutes: 43 mph (decrease)
- At 9 minutes: 41 mph (decrease)

This table does not show an increase in speed.

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]
- At 5 minutes: 45 mph
- At 6 minutes: 43 mph (decrease)
- At 7 minutes: 41 mph (decrease)
- At 8 minutes: 41 mph (no change)
- At 9 minutes: 41 mph (no change)

This table does not show an increase in speed.

After reviewing all the tables, only Table 2 accurately depicts a scenario where the car's speed first increases and then decreases. Therefore, the table representing the car's speed that first increases and then decreases is Table 2.