Grade 11 functions

8. A student is measuring the amount of bacteria growing in a petri dish for a 14-day experiment. She creates an exponential growth model of N(t) = 5(1.2), where N(t) represents the number of bacteria present, in thousands, and t represents the time in days. a) (3 -A) Using her model, fill in the missing values for (0, 9 and 14 days) in the table and then graph the data on the axes. Time Number of (days) Bacteria 0 5477 6000 18 6573 14- 7200 12- 7887 9465 Number of Bacteria (1000s) 10 8640 10368 10 12442 11 13629 Time (days) 10 11 12 13 12 14930 13 16355 14 b) (1 -A) Use the graph to estimate the time needed for the number of bacteria to triple. c) (1 -A, 2- C) What restriction on the domain exists in this scenario? Explain