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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.
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.
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