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Last Saturday, Felix and Kia went hiking in the mountains. When they started

back to the head of the trail at 2:00 pm, their elevation was 3,560 feet above
sea level. At 5:30 pm, their elevation was 2,390 feet. What was the rate of
change, to the nearest whole foot, of their elevation between 2:00 pm and 5:30
pm?

2 Answers

2 votes

Final answer:

The rate of change of elevation for hikers Felix and Kia is approximately 334 feet per hour when descending from 3,560 feet to 2,390 feet over a 3.5-hour period.

Step-by-step explanation:

The question asks us to calculate the rate of change of elevation for hikers between 2:00 pm and 5:30 pm. To find the rate, we need to divide the change in elevation by the change in time. The change in elevation (rise) is the final elevation subtracted from the initial elevation, and the change in time (run) is the difference between the final and start times.

The initial elevation is 3,560 feet and the final elevation is 2,390 feet. The total change in elevation is 3,560 feet - 2,390 feet = 1,170 feet. The start time is 2:00 pm and the end time is 5:30 pm, thus the hike took 3.5 hours (since 5:30 pm is 3 hours and 30 minutes after 2:00 pm).

To get the rate of change per hour, we divide the total change in elevation by the total number of hours: 1,170 feet / 3.5 hours = 334.29 feet/hour. Rounding to the nearest whole foot, the rate of change in elevation is approximately 334 feet per hour.

User Kwido
by
5.5k points
0 votes
Nit 100% sure.
I think rate of change is 334ft
r=distance/time
time: 5:30-2:00=3.5
distance: 3560-2390=1170 ft
r=1170/3.5
r=334 ft

User TheEye
by
5.7k points