Answer:
1) Between 0 and 1 minute the rate of change is 25 ft./min
2) Between 1 and 2 minute the rate of change is 0 ft./min
3) Between 2 and 4 minute the rate of change is -12.5 ft./min
Step-by-step explanation:
1) Between 0, and 1 feet, we have;
The rate of change = (Final height - Initial height)/(Final time - Initial time)
The rate of change = (40 - 15)/(1 - 0) = 25 ft/min
Between 0 and 1 minute the rate of change = 25 ft./min
2) Between 1, and 2 feet, we have;
The rate of change = (40 - 40)/(2 - 1) = 0 ft/min
Between 1 and 2 minute the rate of change = 0 ft./min
3) Between 2, and 4 feet, we have;
The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min
Between 2 and 4 minute the rate of change = -12.5 ft./min
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× 80
