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

Question

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

Quizplus · Accepted Answer

The Answer of 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

The Atmospheric Pressure Decreases with Increasing Altitude 1.033231.033231.03323 Kilograms Per Square Centimeter, and This Pressure Is Called One

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