Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -200 feet. Then she continued to hike down another 20 minutes at a different rate. Her change in elevation for this part of the hike was -300 feet.

During which portion of the hike did she walk down at a faster rate? Explain your reasoning.

The correct answer is:
The faster rate is when she hiked down 200 feet in 10 minutes.
Explanation :
The rate of change is given by the change in y over the change in x; in this case, the change in elevation over the change in time.
For the first part of the hike, the change in elevation was -200 and the change in time was 10; this gives us a rate of change of -200/10 = -20.
For the second part of the hike, the change in elevation was -300 and the change in time was 20; this gives us a rate of change of -300/20 = -15.
She hiked downhill faster during the first part of the hike, at 20 feet per minute.

Answered by MsEHolt | 2024-06-11

Nola descended at a faster rate during the first 10 minutes of her hike. This is determined by dividing the change in elevation by time, which gives us -20 feet per minute for the first half and -15 feet per minute for the second half. A larger negative number indicates a faster rate of decrease. ;

Answered by MonteBlue | 2024-06-18

Nola walked down at a faster rate during the first 10 minutes of her hike, with a rate of -20 feet per minute compared to -15 feet per minute in the second segment. This shows that she descended more quickly in the first part. The calculation reveals that a larger negative rate indicates a faster descent.
;

Answered by MonteBlue | 2024-09-27