A climber began at an altitude of 46,250 feet. After 2 hours he was 46,400. After 6 hours, he was at 46,700. what is the rate change?

To find the rate of change of the climber's altitude, we need to calculate the average rate of change of altitude for the time interval from 2 hours to 6 hours.

Average rate of change = (change in altitude) / (change in time)

The change in altitude from 2 hours to 6 hours is:

46,700 - 46,400 = 300 feet

The change in time from 2 hours to 6 hours is:

6 hours - 2 hours = 4 hours

Therefore, the average rate of change of altitude is:

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

So the rate of change of the climber's altitude from 2 hours to 6 hours is 75 feet per hour.