I need help ASAP

2. The percentage of the part of the moon facing earth that is illuminated can be modeled by a sinusoidal function. 100% corresponds to a full moon, and 0% corresponds to a new moon. Create a sinusoidal function based on the data presented, relating the percentage of the moon illuminated (I) as a function of the number of days passed (T) since the start of data collection. Data was only collected on nights without cloud cover. | Time passed(days) [ 0 | 2 [ 5 [ 7 [ 8 [13[14 1518|2320 [ 30 [ 31 [36 4042 a4 | Mlumination (%) |95 [100 |89 [72 [61]11]5 [ 1 |5 |s0]99|100] 09 [61]19] 5 | 0| a. What is the amplitude of this function? c. Determine a sine or cosine function that [1 mark] would model this data. [3 marks] b. What is the period of this function? [1 mark]