Atmospheric pressure P in pounds per square inch is represented by the formula P : 1411202133, where m 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 8.925 pounds per square inch? (Hint: there are 5,280 feet in a mile) The mountain is Number feet high. Show your work and explain, in your own words, how you arrived at your answer. P = 14.70-0.21x 8.448 = 14.7e-0.21x Substitute P = 8.448 into the equation. 8.448 = p-0.21x 14.7 Divide both sides by 14.7. 8.448 In = - 0.21x Take the natural log of both sides. 14.7 8.448 In 14.7 = X Divide by the coefficient of x. - 0.21 8.448 In 14.7 X = . 5,280 -0.21 Convert to feet by multiplying by 5,280. x ~ 13,927 Use a calculator to evaluate. The peak of a mountain with an atmospheric pressure of 8.448 pounds per square inch is 13,927 feet high