A scientist is studying the growth of a certain bacteria population in a dish. At 12:00 P.M., the scientist begins the study with 4 bacteria. After each hour of the study, the scientist records the time and the number of bacteria in the dish. The scientist’s records for the first few hours of the study are shown in the table below.
Part A. Write a recursive formula to represent the bacteria growth in this study. Let A0 represent the number of bacteria at the beginning of the study, and let n represent the number of hours that have passed since the study began.
Part B. Write an explicit formula to represent the bacteria growth in this study. Again, let A0 represent the number of bacteria at the beginning of the study, and let n represent the number of hours that have passed since the study began.

Part C. Using your recursive formula and assuming the bacteria population continues to grow at the same rate, determine the number of bacteria in the dish at 8:00 P.M. Show your work. Next, using your explicit formula and assuming the bacteria population continues to grow at the same rate, determine the number of bacteria in the dish at 8:00 P.M. Show your work.
Part D. Compare and contrast the methods you used when using the different formulas in part C. Which type of formula would you use if you had to determine the number of bacteria in the dish at 10:00 A.M. on the following day? Explain.