The size of a certain population of reindeer in Richmond County varies according to a sinusoidal model because of certain ecological pressures. In 1990 the population was at the maximum of 600 and in 1994 it was at the minimum of 480.

a) Sketch the sinusoidal curve that models this situation. b) Determine the sinusoidal model equation that models the deer population in terms of years starting with 1990. c) use your model to predict the current deer population ( 2020 )