A meteorologist measures the atmospheric pressure (in
Chapter 4, Problem 87(choose chapter or problem)
Modeling Data A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h in kilometers). The data are shown below.
(a) Use a graphing utility to plot the points (h, In P). Use the regression capabilities of the graphing utility to find a linear model for the revised data points.
(b) The line in part (a) has the form
In P = ah + b.
Write the equation in exponential form.
(c) Use a graphing utility to plot the original data and graph the exponential model in part (b).
(d) Find the rate of change of the pressure when h = 5 and h = 18.
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