Based on the graph, which statement could describe Janelle’s trip home from school?

Question

Janelle waited for the bus, rode the bus, and then walked home.
Janelle walked the opposite direction from home to the library, rode the bus, and then walked to a friend’s house.
Janelle walked home at a constant speed.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.

The graph titled “Janelle’s Trip Home” shows how Janelle’s distance from home changes over time. Here’s a summary:

The graph is a piecewise linear function, indicating that Janelle’s distance from home changes at different rates over time.
The vertical axis represents the distance from home in miles, while the horizontal axis represents time in minutes.
This graph can be used to analyze Janelle’s speed at different intervals and understand the dynamics of her journey home.

Answer 1

To determine which statement most accurately describes Janelle's trip home based on the graph, we need to consider the characteristics of the piecewise linear function representing her distance from home over time. Here are considerations for each of the given options:

1. Janelle waited for the bus, rode the bus, and then walked home.

   • If the graph shows sections where the distance remains constant (indicating she is waiting or riding), followed by a segment where the distance decreases (indicating she is walking), this could be accurate.

2. Janelle walked the opposite direction from home to the library, rode the bus, and then walked to a friend’s house.

   • This is less likely unless the graph shows an increase in distance from home, indicating she walks away first before the distance decreases again.

3. Janelle walked home at a constant speed.

   • If the graph has sections that are not linear (e.g., jagged or varying slopes), this statement would not hold true since it would indicate changes in speed.

4. Janelle rode the bus to the bus stop, talked with a friend, and then walked home.

   • This option would be viable if the graph shows initial sections with a constant distance (while the bus is moving), a flat section (indicating she is stopped talking), followed by a section where her distance decreases (walking home).

Based on the description of the graph as a piecewise linear function that indicates changes in Janelle's distance at different rates, the most reasonable options would be the first or the fourth statement, depending on the specifics of the graph. However, if there are sections where she is not changing distance, the first statement might be the most encompassing given that it includes both waiting and riding phases before walking home.

Therefore, I would suggest analyzing the graph closely to determine the correct description, but the first statement sounds like a reasonable conclusion if it fits the observed sections of the graph.

Answer 2

Janelle rode the bus to the bus stop, talked with a friend, and then walked home.

The table titled “Hiking Elevation (feet)” compares the elevation reached by two hikers, Melissa and Corey, over time during a hike. Here’s a summary:

Melissa: Starts at 8,342 feet and reaches 12,921 feet at 90 minutes, then descends to 10,000 feet at 120 minutes.
Corey: Starts at 10,004 feet, peaks at 12,971 feet at 60 minutes, and then descends to 11,075 feet at 90 minutes.

Answer 3

In comparing the hiking elevation of Melissa and Corey based on the provided summary, we can make some observations about their hiking patterns:

Melissa's Elevation Profile:

• Starting Elevation: 8,342 feet.
• Climbs to: 12,921 feet at 90 minutes.
• Descends to: 10,000 feet at 120 minutes.

Corey's Elevation Profile:

• Starting Elevation: 10,004 feet.
• Climbs to: 12,971 feet at 60 minutes.
• Descends to: 11,075 feet at 90 minutes.

Key Points:

1. Initial Elevation:

   • Melissa starts at a lower elevation (8,342 feet) compared to Corey (10,004 feet).

2. Peak Elevation:

   • Melissa reaches a peak of 12,921 feet at 90 minutes, while Corey reaches a slightly higher peak of 12,971 feet at 60 minutes.

3. Climbing Duration:

   • Melissa continues to climb for 90 minutes to reach her peak.
   • Corey reaches his peak within a shorter duration (60 minutes).

4. Descent:

   • After reaching their peaks, both hikers descend.
   • Melissa descends to 10,000 feet over 30 minutes (from 90 to 120 minutes).
   • Corey descends to 11,075 feet over 30 minutes (from 60 to 90 minutes).

Conclusion:

• Overall Climbing Performance:
  • Corey generally climbs faster and peaks higher in a shorter duration than Melissa, though both have notable hikes.
• Total Elevation Change:
  • Melissa has a more significant drop in elevation after reaching her peak compared to Corey.

These observations provide a clear picture of their hiking performance and how their elevation changed over time. If you would like to analyze specific aspects or compare certain intervals in more detail, please specify!

Answer 4

Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply.

Melissa and Corey started on different trails.
Melissa hiked up the trail for a longer period of time than Corey.
Melissa and Corey crossed paths between 60 and 90 minutes.
Corey began his descent before Melissa.
As Melissa’s time increased from 0 to 60 minutes, her elevation decreased.

Answer 5

Based on the provided summary of Melissa and Corey's hiking elevation over time, we can evaluate each of the statements to determine which must be true:

1. Melissa and Corey started on different trails.

   • Not necessarily true. The summary does not provide information about whether they started on different trails; they could have begun on the same trail and followed different routes.

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

   • True. Melissa's ascent continued until 90 minutes, while Corey reached his peak at 60 minutes. This indicates Melissa hiked uphill for a longer duration than Corey.

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

   • Not necessarily true. The information does not allow us to conclude that they crossed paths. They could have been at different elevations at those times based on their climbing and descending strategies.

4. Corey began his descent before Melissa.

   • True. Corey reached his peak at 60 minutes and began his descent immediately thereafter, while Melissa did not peak until 90 minutes. Thus, Corey began descending before Melissa reached her summit at 90 minutes.

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

   • Not true. According to the summary, Melissa started at 8,342 feet and climbed to 12,921 feet by 90 minutes. Therefore, from 0 to 60 minutes, her elevation must have increased as she was climbing.

Summary of True Statements:

• Melissa hiked up the trail for a longer period of time than Corey.
• Corey began his descent before Melissa.

These two scenarios must be true. The other statements do not necessarily follow from the information provided.

Answer 6

Melissa and Corey started on different trails.
Melissa hiked up the trail for a longer period of time than Corey.
and Corey began his descent before Melissa.

man you gave me a 68

Answer 7

I apologize for any confusion caused by my previous responses. Let's clarify the evaluation of the statements regarding Melissa and Corey based on the elevation data provided, making sure we accurately analyze each scenario.

1. Melissa and Corey started on different trails.

   • Not necessarily true. They could have started on the same trail but followed different paths. This statement cannot be definitively determined from the provided information.

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

   • True. Melissa climbed for 90 minutes before she started descending, while Corey reached his peak at 60 minutes. Therefore, Melissa hiked uphill for a longer duration.

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

   • Not necessarily true. The information does not confirm that they crossed paths as their elevation changes could vary significantly.

4. Corey began his descent before Melissa.

   • True. Corey reached his peak at 60 minutes and started descending afterward, while Melissa was still climbing until 90 minutes.

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

   • Not true. Melissa's starting elevation was 8,342 feet and she climbed to 12,921 feet. Thus, her elevation did not decrease during that time; it increased as she hiked.

Summary:

The true statements are:

• Melissa hiked up the trail for a longer period of time than Corey.
• Corey began his descent before Melissa.

The statement about starting on different trails cannot be confirmed, and the others are not true based on the provided details.

I understand that getting a score of 68 may be frustrating, and I'm here to help clarify any other questions or concerns you have. Please let me know if you need further assistance!