: atmospheric pressure decreases by about 12% for every 1000 meters you climb. the pressure at sea level is about 1013 millibar

Question

A. construct a model to represent the atmospheric pressure at a given altitude in thousands of meters?

B. How many atmospheres of pressure will you feel at 5,895 meters? (Top of Mt. Kilimanjaro)

C.How many atmospheres of pressure will you feel at 8,848 meters? (Top of Mt. Everest)

D. How many atmospheres of pressure will you feel at 383 meters? (highest point in Indiana)

Answer 1

P(h) = 1013(0.88)^h/1000, where a₀ = initial measure, b = rate of change, h = change in height

 

P(5895) = 1013(0.88)^5896/1000

P(5895) = 1013(0.88)^5.896

P(5895) ≈ 1013(0.4706)

P(5895) ≈ 476.74

 

C. and D,. are done the same way.