Solve the problem.
-The logarithmic function $\mathrm { f } ( \mathrm { x } ) = - 100 + 86 \ln \mathrm { x }$ models the number of visitors (in millions) to a certain country's museums, where $x$ is the number of years since the initial recording of the number of visitors. Use this function to estimate the number of visitors in year 80 . Round to the nearest tenth of a year.
A) $276.9$ million
B) $138.4$ million
C) $415.3$ million
D) $207.6$ million

Question

Quizplus · Accepted Answer

To estimate the number of visitors in year 80, substitute $x = 80$ into the given function: $f(80) = -100 + 86\ln(80)$. Calculating this gives approximately $276.9$ million visitors.

Solve the Problem f(x)=−100+86ln⁡x\mathrm { f } ( \mathrm { x } ) = - 100 + 86 \ln \mathrm { x }f(x)=−100+86lnx

Solve the Problem $\mathrm { f } ( \mathrm { x } ) = - 100 + 86 \ln \mathrm { x }$