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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 of change?

Verified Answer :

AL2006

Average rate of change =
(change in height during some time) / (length of time for the change).

Change in height = (700 feet - 400 feet) = 300 feet

Time for the change = (6 hours - 2 hours) = 4 hours

Average rate of change = (300 feet) / (4 hours) = 75 feet per hour

Answer:

75 feet per hour is the rate of change in altitude.

Step-by-step explanation:

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 400 feet.

We have to determine the average rate of change in altitude.

We know rate of change in altitude = \(\frac{\text{(Change in altitude)}}{\text{Change in time}}\)

= \(\frac{700-400}{6-2}\)

= \(\frac{300}{4}\)

= 75 feet per hour

Therefore, 75 feet per hour is the rate of change in altitude.

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