Answer to Question #174429 in Algebra for mariah Perez

Question

Atmospheric pressure P

 in pounds per square inch is represented by the formula P=14.7e

−0.21x

, where x

 is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.124

 pounds per square inch? (Hint: there are 5,280

 feet in a mile)

 

Answer 1

8.124=14.7e^-0.21x

e^-0.21x=0.552653

-0.21x=ln(0.552653)=-0.593

x=2.8239 miles=14910 feet