To find the rate of change of the elevation of the airplane with respect to the number of minutes, we can calculate the change in elevation per unit of time (minutes).
From the table, we can see the following points:
- At 2 minutes, the elevation is 1,200 ft.
- At 4 minutes, the elevation is 3,600 ft.
- At 7 minutes, the elevation is 7,200 ft.
- At 12 minutes, the elevation is 13,200 ft.
We can compute the rate of change using any two points. Let's take the first two points for calculation:
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From 2 to 4 minutes:
- Change in elevation = 3,600 ft - 1,200 ft = 2,400 ft
- Change in time = 4 min - 2 min = 2 min
- Rate of change = Change in elevation / Change in time = 2,400 ft / 2 min = 1,200 ft/min
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From 4 to 7 minutes:
- Change in elevation = 7,200 ft - 3,600 ft = 3,600 ft
- Change in time = 7 min - 4 min = 3 min
- Rate of change = 3,600 ft / 3 min = 1,200 ft/min
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From 7 to 12 minutes:
- Change in elevation = 13,200 ft - 7,200 ft = 6,000 ft
- Change in time = 12 min - 7 min = 5 min
- Rate of change = 6,000 ft / 5 min = 1,200 ft/min
In all cases, the rate of change of elevation is consistent.
Therefore, the rate of change of the elevation of the airplane with respect to the number of minutes is 1,200 feet per minute.