A helicopter is at a height of 250 feet 5 minutes after takeoff, and is at a height of 675 feet 10 minutes after takeoff. What is the average rate of change in height for the helicopter over this period of time?

The average rate of change in height for the helicopter over this period of time can be calculated by finding the difference in height and the difference in time, and then dividing the difference in height by the difference in time.

Difference in height = 675 feet - 250 feet = 425 feet
Difference in time = 10 minutes - 5 minutes = 5 minutes

Average rate of change in height = Difference in height / Difference in time
Average rate of change in height = 425 feet / 5 minutes
Average rate of change in height = 85 feet per minute

Therefore, the average rate of change in height for the helicopter over this period of time is 85 feet per minute.