InverseFctn1soln

^{Logarithmic
Functions}

9. The air pressure p(h) (in lb/in^² ) at an altitude of h feet above sea level
may be approximated by p(h) = 14.7 e ^{^-.0000385}^{^h}.

a) Using this model, find the air pressure at the summit of a mountain 20,000 ft.

P(20,000) = 14.7 e ^{^{-.0000385 x 20000}}.
= 6.8... lb/in^²

The air pressure at 20,000 ft is P(20,000). Find this value.

b) Using this model, find the air pressure in a valley 1000 ft below sea level.

What value of h corresponds to 1000 ft below sea level?

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