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 700 feet. What is the average rate if change?

Question

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Answer 1

We have height as a function of time:

x = tme, y = height

Our two points are: (2, 400), (6, 700)

 

Rate of change = slope

m = (700-400)/(6-2) = 300/4 = 75 ft per hour