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Devise an exponential decay function that fits the given data, then the accompan

ID: 3413205 • Letter: D

Question

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?

Explanation / Answer

P=1000*(1/3)^(E/40000) 500=1000*(1/3)^(E/40000) E=25237.2 20=1000*(1/3)^(E/40000) E=142,435

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