Time(hr) Water level (ft)
0 50
2 40
4 30
6 20
Enter the rate of change of the water level in feet per hour.
between which readings ?
Time--------Water level
0---------------50
2---------------40
4---------------30
6---------------20
Enter the rate of change of the water level in feet per hour.
notice for each increase of 2 units of tem, the level drops 10
rate of change = -10/2 ft/h
= -5 ft/hr
To calculate the rate of change of the water level in feet per hour, we need to determine how much the water level changes for each hour.
Starting from the first time interval, the water level decreases from 50 feet to 40 feet over a time of 2 hours. Therefore, the rate of change during this interval is (40 ft - 50 ft) / 2 hr = -5 ft/hr.
Moving on to the second time interval, the water level decreases from 40 feet to 30 feet over a time of 2 hours. Consequently, the rate of change during this interval is (30 ft - 40 ft) / 2 hr = -5 ft/hr.
Finally, considering the third time interval, the water level decreases from 30 feet to 20 feet over a time of 2 hours. The rate of change during this interval is (20 ft - 30 ft) / 2 hr = -5 ft/hr.
Since the rate of change is constant and equal in all the intervals, we can conclude that the rate of change of the water level in feet per hour is -5 ft/hr.