There are 15 people in the chorus. each year, the number of people in the chorus increases by 12%. there are 30 people in the band. each year, 2 new people join the band.

part a: write functions to represent the number of people in the chorus and the number of people in the band throughout the years.

part b: how many people are in the chorus after 9 years? how many people are in the band after the same number of years?

part c: after approximately how many years is the number of people in the chorus and number of people in the band the same? justify your answer mathematically.