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Exponential air pressure decay

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When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340 feet) would have on the athletes. Assuming air pressure decays exponentially by 0.3% every 100 feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?

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The expert examines exponential air pressure decay.

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Please refer to the attachment.

Let the pressure (P) vs altitude (x) variation be represented by exponential function :

P = Poe-kx .......(1)

Let altitude change from x to x+100. Then, the pressure reduces by ...

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