A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with Respect to altitude $\text { when } h = 10 \text { using the relation } \ln P = - 0.1499 h + 10.3016 \text {. Round your answer to }$ one decimal place. $\begin{array}{|c|c|c|c|c|c|}
\hline h & 0 & 5 & 10 & 15 & 20 \
\hline p & 28,085 & 15,169 & 6,458 & 3,371 & 1405 \
\hline
\end{array}$
A) $P ^ { \prime } ( 10 ) \approx - 858.3$
B) $P ^ { \prime } ( 10 ) \approx - 997.1$
C) $P ^ { \prime } ( 10 ) \approx - 2,710.3$
D) $P ^ { \prime } ( 10 ) \approx - 366.8$
E) $P ^ { \prime } ( 10 ) \approx - 2,008.2$

Question

Quizplus · Accepted Answer

The Answer of A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with Respect to altitude $\text { when } h = 10 \text { using the relation } \ln P = - 0.1499 h + 10.3016 \text {. Round your answer to }$ one decimal place. $\begin{array}{|c|c|c|c|c|c|}
\hline h & 0 & 5 & 10 & 15 & 20 \
\hline p & 28,085 & 15,169 & 6,458 & 3,371 & 1405 \
\hline
\end{array}$
A) $P ^ { \prime } ( 10 ) \approx - 858.3$
B) $P ^ { \prime } ( 10 ) \approx - 997.1$
C) $P ^ { \prime } ( 10 ) \approx - 2,710.3$
D) $P ^ { \prime } ( 10 ) \approx - 366.8$
E) $P ^ { \prime } ( 10 ) \approx - 2,008.2$