12. A chemical company is testing the effectiveness of a new cleaning solution for killing bacteria. The test involves introducing the solution into a sample that contains approximately 10 000 bacteria. The number of bacteria remaining, b( t) , over time, t, in seconds is given by the equation Mt) = 10 000 %. a) How many bacteria will be left after 20 s? b) After how many seconds will only 5000 bacteria be left? c) After how many seconds will only one bacterium be left? d) This model is not always accurate. Determine what sort of inaccuracies this model might have. Assume that the solution was introduced at t = 0. e) Based on these inaccuracies, what should the domain and range of the equation be