Solve the problem.
-In the Smoky Mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by $\mathrm{P} \%=10.0 \ln \mathrm{h}-80$, where $\mathrm{P}$ is the percent of snow moisture at an altitude $\mathrm{h}$ feet. What altitude corresponds to 2 percent snow moisture? Round to the nearest hundred feet.
A) about 700 feet
B) about 1000 feet
C) about 3600 feet
D) about 2000 feet

Question

Quizplus · Accepted Answer

To find the altitude corresponding to 2 percent snow moisture, set $ P = 2 $ and solve for $ h $:  $ 2 = 10.0 \ln h - 80 $  $ 82 = 10.0 \ln h $  $ \ln h = 8.2 $  $ h = e^{8.2} \approx 3620 $ feet, which rounds to about 3600 feet.

Solve the Problem P%=10.0ln⁡h−80\mathrm{P} \%=10.0 \ln \mathrm{h}-80P%=10.0lnh−80 , Where P\mathrm{P}P Is the Percent of Snow Moisture at an Altitude

Solve the Problem $\mathrm{P} \%=10.0 \ln \mathrm{h}-80$ , Where $\mathrm{P}$ Is the Percent of Snow Moisture at an Altitude