A bacteria culture starts with 500 bacteria and after 4 days, grows to 27,000 bacteria.

Keep your answers exact unless otherwise stated.

a. Find the number of bacteria after t days. Model your answer using an equation

of the form A = Aoe^kt (the o is a subscript of A)

b. When will the bacteria double?

c. Find the rate of growth after 6 days.

I am trying to finish math homework and I am getting stuck on this question, could you please provide me with a step by step solution.