Question

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −170 feet. Then she continued to hike down for another 20 minutes at a different rate. Her change in elevation for this part of the hike was −220 feet. During which portion of the hike was her rate of change in elevation greater? Complete the explanation

Answer 1

Answer: First portion is greater than second portion.

Step-by-step explanation:

Time taken to hiked down a trail = 10 minutes

Change in elevation = (-) 170 feet

Speed is given by

$Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}$

Similarly,

Time taken to hiked down a trail = 20 minutes

Change in elevation = (-)220 feet

Speed is given by

$Speed=\frac{Distance}{Time}$

$Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}$

So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.

As 17 feet per minutes is greater than 11 feet per minutes.