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 700 feet. What is the average rate of change?

Answer 1

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.

Answer 2

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