C is the amount of cars in a parking lot during a day. The time the cars are there (t) is measured in hours, with t=0 representing 7:00 am.

C is the amount of cars in a parking lot during a day. The time the cars are there (t) is measured in hours, with t=0 representing 7:00 am. If you wanted to create a sinusoidal model for the data below showing t and C, is it more convenient to model with the sine or cosine function? Why? Show the model for C as function of t, and identify values for amplitude, period, horizontal and vertical shifts.

t