Solved: Modeling Data The atmospheric pressure decreases with increasing altitude. At

Chapter 3, Problem 117

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Modeling Data The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is one atmosphere (1.033227 kilograms per square centimeter). The table gives the pressure (in atmospheres) at a given altitude (in kilometers). (a) Use a graphing utility to find a model of the formfor the data. Explain why the result is anerror message.(b) Use a graphing utility to find the logarithmic modelfor the data.(c) Use a graphing utility to plot the data and graph thelogarithmic model.(d) Use the model to estimate the altitude at which the pressureis 0.75 atmosphere.(e) Use the model to estimate the pressure at an altitude of13 kilometers.(f) Find the rate of change of pressure when andInterpret the results in the context of the problem.