Question

A climber is on a hike. after 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of of 700 feet. What is the average rate of change?

Answer 1

75 feet per hour

Explanation:

Here, you are essentially given two points on a graph, only they are not graphed. You can visualize (2, 400) and (6, 700), and use the rate of change formula to find the average rate of change.

Then, simplify until you arrive at your solution.

`(y_(2) -y_(1) )/(x_(2) -x_(1)) =(700-400)/(6-2) =(300)/(4) = 75` feet per hour