A Meteorologist Measures the Atmospheric Pressure P (In Kilograms Per $( h , \ln P )$

question 7

Multiple Choice

A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers) . The data are shown below. Use the regression capabilities of the Graphing utility to find a linear model for the revised data points obtained by plotting the points $( h , \ln P )$ $\begin{array}{|c|c|c|c|c|c|}\hline h & 0 & 5 & 10 & 15 & 20 \\\hline p & 28,085 & 15169 & 6,458 & 3,371 & 1,405 \\\hline\end{array}$

• A) \(\ln P = - 0.1499 h + 10.3018\)
• B) \(\ln P = - 0.1944 h - 14.3601\)
• C) \(\ln P = 0.1944 h + 10.3601\)
• D) \(\ln P = - 0.1499 h - 14.3016\)
• E) \(\ln P = - 0.1499 h - 10.3018\)

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