Homework SourseDevise an exponential decay function that fits the given dat
Devise an exponential decay function that fits the given data, then the accompanying questions. Be sure to identify the reference point (t=0) and the units of time.
The pressure of a certain planet\'s atmosphere at sea level is approximately 1000 millibars and decreases exponentially with elevation. At an elevation of 40,000 ft, the pressure is one-third of the sea-level pressure. At what elevation is the pressure half of the sea-level pressure? At what elevation is it 2% of the sea-level pressure?
The pressure of a certain planet\'s atmosphere at sea level is approximately 1000 millibars and decreases exponentially with elevation. At an elevation of 40,000 ft, the pressure is one-third of the sea-level pressure. At what elevation is the pressure half of the sea-level pressure? At what elevation is it 2% of the sea-level pressure?
Solution
P=1000*(1/3)^(E/40000) 500=1000*(1/3)^(E/40000) E=25237.2 20=1000*(1/3)^(E/40000) E=142,435
