The formula p = 14.7e {}^( - 0.21x) gives the average atmospheric pressure, P, in pounds per square inch, at an altitude x, in miles above sea level. Find the average atmospheri…

Question

The formula


`p = 14.7e {}^( - 0.21x)`
gives the average atmospheric pressure, P, in pounds per square inch, at an altitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles. Round your answer to the nearest tenth.

Answer 1

the answer is P=7.8

Explanation:

P=14.7e -0.21x

X=14.7e (-0.63)

take the natrual log of both sides

1n(P)=1n(14.7e(-.63)

1n(P)=1n(14.7)-.63

(because ln(e^a) = a)

1n(P)=2.688 - .63

1n(P)=2.058

P=e 2.058

P=7.8