IDNLearn.com provides a comprehensive solution for all your question and answer needs. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.
Sagot :
To determine which table represents a car that increases and then decreases its speed, let's examine each table one by one based on the given conditions.
### Table 1:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 43 & 41 & 42 & 43 \\ \hline \end{array} \][/tex]
- From 5 min to 7 min: Speed decreases from 45 mph to 41 mph.
- From 7 min to 9 min: Speed increases from 41 mph to 43 mph.
This does not fit the pattern of first increasing and then decreasing. So, Table 1 is not valid.
### Table 2:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 47 & 49 & 48 & 47 \\ \hline \end{array} \][/tex]
- From 5 min to 7 min: Speed increases from 45 mph to 49 mph.
- From 7 min to 9 min: Speed decreases from 49 mph to 47 mph.
This fits the pattern of first increasing and then decreasing. So, Table 2 is valid.
### Table 3:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 45 & 45 & 43 & 41 \\ \hline \end{array} \][/tex]
- From 5 min to 7 min: Speed remains constant at 45 mph.
- From 7 min to 9 min: Speed decreases from 45 mph to 41 mph.
The speed does not increase initially. So, Table 3 is not valid.
### Table 4:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 43 & 41 & 41 & 41 \\ \hline \end{array} \][/tex]
- From 5 min to 6 min: Speed decreases from 45 mph to 43 mph.
- From 6 min to 9 min: Speed decreases further from 43 mph to 41 mph.
The speed consistently decreases. So, Table 4 is not valid.
### Conclusion:
The table that could represent the car's speed increasing and then decreasing is Table 2.
### Table 1:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 43 & 41 & 42 & 43 \\ \hline \end{array} \][/tex]
- From 5 min to 7 min: Speed decreases from 45 mph to 41 mph.
- From 7 min to 9 min: Speed increases from 41 mph to 43 mph.
This does not fit the pattern of first increasing and then decreasing. So, Table 1 is not valid.
### Table 2:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 47 & 49 & 48 & 47 \\ \hline \end{array} \][/tex]
- From 5 min to 7 min: Speed increases from 45 mph to 49 mph.
- From 7 min to 9 min: Speed decreases from 49 mph to 47 mph.
This fits the pattern of first increasing and then decreasing. So, Table 2 is valid.
### Table 3:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 45 & 45 & 43 & 41 \\ \hline \end{array} \][/tex]
- From 5 min to 7 min: Speed remains constant at 45 mph.
- From 7 min to 9 min: Speed decreases from 45 mph to 41 mph.
The speed does not increase initially. So, Table 3 is not valid.
### Table 4:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Time (min)} & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Speed (mph)} & 45 & 43 & 41 & 41 & 41 \\ \hline \end{array} \][/tex]
- From 5 min to 6 min: Speed decreases from 45 mph to 43 mph.
- From 6 min to 9 min: Speed decreases further from 43 mph to 41 mph.
The speed consistently decreases. So, Table 4 is not valid.
### Conclusion:
The table that could represent the car's speed increasing and then decreasing is Table 2.
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.