A Petri dish contains 2000. The number of bacteria triples every 6 hours. How many bacteria will exi

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A Petri dish contains 2000. The number of bacteria triples every 6 hours. How many bacteria will exist after 3 days?

Determine the amount of tripling periods:

• There are 24 hours in a day.
• 24 hours in a day * 3 days = 72 hours
• 72 hours / 6 hours tripling period = 12 tripling periods

Our bacteria population function B(t) where t is the amount of tripling periods. Tripling means we multiply by 3, so we have:
B(t) = 2000 * 3^t

with t = 12 tripling periods, we have:
B(12) = 2000 * 3^12
B(12) = 2000 * 531441
B(12) = 1,062,882,000