Question

The total box office ticket sales y (in millions of dollars) of a movie x days after itsrelease can be represented by y = 25 + 50 In x. After how many days will thetotal ticket sales be about $160,000,000?

Answer 1

Given y = 25 + 50 ln x

we want to find x when y = $160 million

`\begin{gathered} 160000000=25+50\ln x \\ \Rightarrow160000000-25=50\ln x \\ \Rightarrow159999975=50\ln x \\ \Rightarrow(159999975)/(50)=\ln x \end{gathered}`