A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that the atmospheric pressure decreases by 12% for each additional kilometer the city is above sea level. The atmospheric pressure at sea level is 103 kPa (kilopascals). Define a function, p , that determines the atmospheric pressure (in kPA) in terms of the number of kilometers the city is above sea level, n .

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

[tex]p(n) = p_{o}\cdot r^{n}[/tex] (Eq. 1)

Where:

[tex]p_{o}[/tex] - Atmospheric pressure at sea level, measured in kilopascals.

[tex]r[/tex] -Atmospheric pressure decrease rate, dimensionless.

[tex]n[/tex] - Height above sea level, measured in kilometers.

[tex]p(n)[/tex] - Current pressure, measured in kilopascals.

If we know that [tex]p_{o} = 103\,kPa[/tex] and [tex]r = 0.88[/tex], the function [tex]p(n)[/tex] is represented by:

[tex]p(n) = 103\cdot (0.88)^{n}[/tex]