Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{Hiking Elevation (feet)} \\
\hline
Time (min) & Melissa & Corey \\
\hline
0 & 8,342 & 10,004 \\
\hline
30 & 9,550 & 11,432 \\
\hline
60 & 11,239 & 12,921 \\
\hline
90 & 12,921 & 11,075 \\
\hline
120 & 12,921 & 10,004 \\
\hline
\end{tabular}

Based on the table, which scenarios must be true? Check all that apply.

1. Melissa and Corey started on different trails.

2. Melissa hiked up the trail for a longer period of time than Corey.

3. Melissa and Corey crossed paths between 60 and 90 minutes.

4. Corey began his descent before Melissa.

5. As Melissa's time increased from 0 to 60 minutes, her elevation decreased.

Sagot :

GinnyAnswer
Certainly, let's analyze the given information step-by-step according to the scenarios:

### Given Data
- Time (in minutes): 0, 30, 60, 90, 120
- Melissa's elevation (in feet): 8,342, 9,550, 11,239, 12,921, 12,921
- Corey's elevation (in feet): 10,004, 11,432, 12,921, 11,075, 10,004

### Analyzing the Scenarios

1. Melissa and Corey started on different trails.
- At 0 minutes, Melissa's elevation is 8,342 feet.
- At 0 minutes, Corey's elevation is 10,004 feet.
- Since their initial elevations are different, it indicates that they started on different trails.
- Conclusion: This scenario is true.

2. Melissa hiked up the trail for a longer period of time than Corey.
- To verify this, we need to see if Melissa's elevation increased continuously for a longer duration compared to Corey.
- Melissa's elevations at 0, 30, and 60 minutes: 8,342 -> 9,550 -> 11,239 (continuous increase)
- Corey's elevations at 0, 30, and 60 minutes: 10,004 -> 11,432 -> 12,921 (continuous increase)
- After 60 minutes, Corey's elevation starts to decrease (12,921 -> 11,075 at 90 minutes), while Melissa's elevation still increases until 90 minutes (11,239 -> 12,921).
- Conclusion: This scenario is false.

3. Melissa and Corey crossed paths between 60 and 90 minutes.
- At 60 minutes, Melissa's elevation is 11,239 feet and Corey's elevation is 12,921 feet.
- At 90 minutes, Melissa's elevation is 12,921 feet and Corey's elevation is 11,075 feet.
- Since Melissa's elevation increased from 11,239 to 12,921, and Corey's elevation decreased from 12,921 to 11,075, their elevation crossed each other between 60 to 90 minutes.
- Conclusion: This scenario is true.

4. Corey began his descent before Melissa.
- Corey's elevation starts to decrease after 60 minutes (12,921 at 60 minutes to 11,075 at 90 minutes).
- Melissa's elevation remains the same after 90 minutes (12,921 at both 90 and 120 minutes), but does not decrease until after 90 minutes.
- Conclusion: This scenario is false.

5. As Melissa's time increased from 0 to 60 minutes, her elevation decreased.
- Melissa's elevation at 0, 30, and 60 minutes: 8,342 -> 9,550 -> 11,239 (continuous increase)
- Since her elevation continuously increased as time increased from 0 to 60 minutes, it did not decrease.
- Conclusion: This scenario is false.

### Final Result
Based on the analysis, the scenarios that must be true are:
1. Melissa and Corey started on different trails.
3. Melissa and Corey crossed paths between 60 and 90 minutes.

Thus, the scenarios that are true are:
- [1]
- [3]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.