A smartphone company Sandroid's stock price is modelled by the function S(t) = 4t + 28 / t + 4 where S is the stock price in dollars and t is time in week. whereas, the competing company, Ants Inc.'s stock price is modelled by the function A(t) = 8t + 3/ t + 3

Answer the following questions. Show your work for full marks.

a) would the two company's stock price ever be equal? justify your answer mathematically.

b) which company would be best to invest in long term? Justify your answer mathematically.