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

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 2

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

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}}`

=
`(700-400)/(6-2)`

=
`(300)/(4)`

= 75 feet per hour

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