Final answer:
To determine the number of bacteria after a specific number of days, we can use the exponential growth formula. If the bacteria culture triples in number every day, there will be 2,700 bacteria after 7 days and 81,900 bacteria after 14 days.
Step-by-step explanation:
To determine the number of bacteria after a specific number of days, we can use the exponential growth formula. In this case, the number of bacteria triples each day. So, to find the number after 7 days, we can use the formula N = N0 × (r)t, where N0 is the initial number of bacteria, r is the growth rate, and t is the number of days.
For the first part, we have N0 = 100, r = 3, and t = 7. Plugging these values into the formula, we get N = 100 × 37 = 2,700 bacteria after 7 days.
Similarly, to find the number after 14 days, we use the same formula with t = 14. With N0 = 100 and r = 3, we get N = 100 × 314 = 81,900 bacteria after 14 days.
Learn more about exponential growth