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. (4 points)

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? (2 points)

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.