Question

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
melissas and coreys elevations were same at some time between 60 and 90 minutes
corey began his descent before melissa
as melissas time increased from 0 to 60 minutes, her elevation decreased

Explanation:

Step1: Analyze the first option

The table is about the elevation of two hikers on the same trail (as it's about the same "trail start" situation). So Melissa and Corey did not start on different trails.

Step2: Analyze the second option

Melissa's time data in the table: \(0,30,60,90,120\) minutes. Corey's time data: \(0,30,60,90\) minutes. Melissa hiked for a longer period of time (120 minutes vs Corey's 90 minutes).

Step3: Analyze the third option

Looking at the elevation values: Melissa's elevation at 90 minutes is \(12921\) feet, Corey's elevation at 60 minutes is \(12921\) feet. So their elevations were the same at some time between 60 and 90 minutes.

Step4: Analyze the fourth option

Corey's elevation at 60 minutes is \(12921\) feet, at 90 minutes is \(11075\) feet. So Corey began his descent before Melissa (Melissa's elevation is still \(12921\) at 90 minutes and remains so at 120 minutes).

Step5: Analyze the fifth option

As Melissa's time increased from 0 to 60 minutes, her elevation went from \(8342\) to \(11239\) (an increase), not a decrease.

Answer:

• Melissa hiked up the trail for a longer period of time than Corey.
• Melissa’s and Corey’s elevations were same at some time between 60 and 90 minutes.
• Corey began his descent before Melissa.