The pressure of the air in the Earth's atmosphere decreases exponentially with altitude above the surface of the Earth. The pressure at the Earth's surface (sea level) is about 14.7 pounds per square inch (psi) and the pressure at 500 feet is approximately 14.4 psi.  If we let y be the air pressure in psi and x be the altitude in feet, then the pressure can be estimated as a function of altitude by using y=14.7(0.99996)x. (a) Predict the pressure in Quito, Ecuador (altitude 9350 ft):  psi. Round to one decimal place.   (b) Find the altitude when the air pressure is 4.62 psi. Round the answer to the nearest integer.

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