Question

6) A climber is on a hike. After 2 hours she is at an altitude of 400 feet. After 6 hours, she is at an

altitude of 700 feet. What is her rate of change?

Answer 1

Her rate of change is 75 ft/h

Explanation:

Rate of Change

It measures how one quantity varies with respect to another. The second variable usually is the time.

The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).

At 6 hours, she is at 700 ft. This is the point (6,700)

The rate of change is the slope between these two points or the quotient of the variations of each variable:

`\displaystyle m=(700\ ft-400\ ft)/(6\ h-2\ h)`

`\displaystyle m=(300\ ft)/(4\ h)`

`m=75\ ft/h`

Her rate of change is 75 ft/h