Question

The logarithmic function f(x) = -100 + 85 In 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 75. Round to the nearest tenth
of a year.
O The number of visitors is 400.5 million
O The number of visitors is 267.0 million
O The number of visitors is 133.5 million
The number of visitors is 200.2 million

Answer 1

To estimate the number of visitors in year 75 using the logarithmic function, we substitute x = 75 into the function f(x) = -100 + 85 ln(x). After evaluating the expression, the estimated number of visitors is approximately 133.5 million. So the correct answer is: The number of visitors is 133.5 million.