Smog is a general term used to describe pollutants in the air. A smog alert is usually issued when the air quality index is greater than 50. Air quality can vary throughout the day, increasing when more cars are on the road. Consider a model of the form 1= 30 sin (15(t - 4)) + 25 Where I is the value of the air quality index and t measures the time after midnight, in hours.a.What is the period of the modelled function? Explain why this makes sense. b.Determine the maximum, minimum and amplitude. c.What is the value of the air quality index at 6am?