The logarithmic functio $f ( x ) = - 100 + 87 \ln x$ ln 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 60. Round to the nearest tenth of a year.
A) 256.2 million
B) 384.3 million
C) 128.1 million
D) 192.2 million

Question

Quizplus · Accepted Answer

To estimate the number of visitors in year 60, substitute x = 60 into the function: $f(60) = -100 + 87 \ln(60)$. Calculating this gives approximately 256.2 million.

The Logarithmic Functio f(x)=−100+87ln⁡xf ( x ) = - 100 + 87 \ln xf(x)=−100+87lnx

The Logarithmic Functio $f ( x ) = - 100 + 87 \ln x$