The accompanying table shows the time of useful consciousness at various altitudes in the situation where a pressurized airplane suddenly loses pressure. The change in pressure drastically reduces available oxygen, and hypoxia sets in. The upper value of each time interval is roughly measured by T = 10.2-0.274a, where T measures time in minutes and a is the altitude over 22,000 in thousands of feet (a = 0 corresponds to 22,000 ft). Complete parts a through c below. Click the icon to view the time of useful consciousness table. a. A jet flying at 33,000 ft (a = 11) suddenly loses pressure when the seal on a window fails. According to this model, how long do the pilot and passengers have to deploy oxygen masks before they become incapacitated? T= 74.3 s (Type an integer or decimal rounded to the nearest tenth as needed.) b. What is average rate of change of T with respect to a over the interval from 26,000 to 31,000 ft (include units)? S 1000 ft (Type an integer or decimal rounded to the nearest thousandth as needed.)

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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The accompanying table shows the time of useful consciousness at various altitudes in the situation where a pressurized airplane suddenly
loses pressure. The change in pressure drastically reduces available oxygen, and hypoxia sets in. The upper value of each time interval is
roughly measured by T = 10.2-0.274a, where T measures time in minutes and a is the altitude over 22,000 in thousands of feet (a = 0
corresponds to 22,000 ft). Complete parts a through c below.
Click the icon to view the time of useful consciousness table.
a. A jet flying at 33,000 ft (a = 11) suddenly loses pressure when the seal on a window fails. According to this model, how long do the pilot and
passengers have to deploy oxygen masks before they become incapacitated?
T= 74.3 s
(Type an integer or decimal rounded to the nearest tenth as needed.)
b. What is average rate of change of T with respect to a over the interval from 26,000 to 31,000 ft (include units)?
S
1000 ft
(Type an integer or decimal rounded to the nearest thousandth as needed.)
Transcribed Image Text:The accompanying table shows the time of useful consciousness at various altitudes in the situation where a pressurized airplane suddenly loses pressure. The change in pressure drastically reduces available oxygen, and hypoxia sets in. The upper value of each time interval is roughly measured by T = 10.2-0.274a, where T measures time in minutes and a is the altitude over 22,000 in thousands of feet (a = 0 corresponds to 22,000 ft). Complete parts a through c below. Click the icon to view the time of useful consciousness table. a. A jet flying at 33,000 ft (a = 11) suddenly loses pressure when the seal on a window fails. According to this model, how long do the pilot and passengers have to deploy oxygen masks before they become incapacitated? T= 74.3 s (Type an integer or decimal rounded to the nearest tenth as needed.) b. What is average rate of change of T with respect to a over the interval from 26,000 to 31,000 ft (include units)? S 1000 ft (Type an integer or decimal rounded to the nearest thousandth as needed.)
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