What is the rate of change for the table representing an airplane's descent?
Time Elevation
0 30,000
2
29,000
5 27,500
12 24,000
(1 point)
Responses
500 ft/min
500 ft/min
1,000 ft/min
1,000 ft/min
2,000 ft/min
2,000 ft/min
0 ft/min
To find the rate of change, we need to calculate the difference in elevation between two consecutive times and divide it by the difference in time.
Between time 0 and time 2, the elevation decreased from 30,000 ft to 29,000 ft. The difference in elevation is 29,000 - 30,000 = -1,000 ft. The difference in time is 2 - 0 = 2 minutes. Therefore, the rate of change is -1,000 ft / 2 min = -500 ft/min.
Between time 5 and time 12, the elevation decreased from 27,500 ft to 24,000 ft. The difference in elevation is 24,000 - 27,500 = -3,500 ft. The difference in time is 12 - 5 = 7 minutes. Therefore, the rate of change is -3,500 ft / 7 min = -500 ft/min.
Since the rate of change is the same for both intervals, the correct answer is:
500 ft/min.