SOLUTION: I need help with this problem! Air pressure at sea level is approximately 14.7 pounds per square inch. The function P(x) = 14.7e^-0.21x models the average atmospheric pressure,

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need help with this problem! Air pressure at sea level is approximately 14.7 pounds per square inch. The function P(x) = 14.7e^-0.21x models the average atmospheric pressure,       Log On


   

Question 931242: I need help with this problem!
Air pressure at sea level is approximately 14.7 pounds per square inch. The function P(x) = 14.7e^-0.21x models the average atmospheric pressure, P(x) in pounds per square inch, at an altitude of x miles above sea level. Use the model to approximate the atmospheric pressure at the summit of K-2 (28,251 ft). Express your answer in pounds/sq inch rounded to the nearest tenth.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The summit of K-2 is 28251 / 5280 = 5.350568182 miles
P(x) = 14.7e^-0.21x = 14.7e^-0.21*5.350568182
note that e = 2.718281828
P(x) = 14.7 * 2.718281828^(-0.21*5.350568182)
P(x) = 4.778984976 approx 4.8 pound per square inch