Bus Riders and Transportation Initiative
In a certain town, the mayor implements a new initiative to encourage the use of public transportation. The number of bus riders is modeled by the equation R(x) = 50 + 3x, where R(x) represents the number of riders in hundreds, and x is the number of months since the initiative began. After a period of time, an alternative transportation app is introduced, which decreases the number of riders by 20% each month.
After t months of the app's introduction, the number of remaining riders is expressed by the equation M(t) = 0.8t * R(n), where n is the final month after the initial initiative (counting both the initiative and the app). If, after 6 months of the alternative app's introduction, the number of bus riders drops to less than 200, in what month, n, did the drop below 200 occur?