The Atmospheric Pressure Decreases with Increasing Altitude $1.03323$ Kilograms Per Square Centimeter, and This Pressure Is Called One

question 83

Multiple Choice

The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is approximately $1.03323$ kilograms per square centimeter, and this pressure is called one atmosphere. Variations in weather conditions cause changes in the atmospheric pressure of up to $\pm 5$ percent. The table below shows the pressures $p$ (in atmospheres) for various altitudes $h$ (in kilometers) . Use the regression feature of a graphing utility to find the logarithmic model $h = a + b \ln p$ for the data. Use the model to estimate the altitude at which the pressure is $0.28$ atmosphere. Round your answer to two decimal places.

• A) \(4.54\) kilometers
• B) \(10.88\) kilometers
• C) \(7.44\) kilometers
• D) \(9.07\) kilometers
• E) \(8.34\) kilometers

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