An all-news radio station has made a survey of the listening habits of local residents between the hours of 5:00 P.M. and midnight. The survey indicates that the percentage of the local adult population that is tuned in to the station x hours after 5:00 P.M. is

a. At what time between 5:00 P.M. and midnight are the most people listening to the station? What percentage of the population is listening at this time?

b. At what time between 5:00 P.M. and midnight are the fewest people listening? What percentage of the population is listening at this time?

Transcribed Image Text:

1 = = (-2x²³ 8 f(x) = (-2x³ + 27x² 108x + 240)