Final answer:
To find the number of bacteria after 33 hours, apply the exponential growth formula N(t) = N0 * 3^(t/10), where N0 is 5000 bacteria.
The calculation gives us the total population after 33 hours.
Step-by-step explanation:
The question asks us to calculate the number of bacteria in a colony after 33 hours when the population triples every 10 hours.
To solve this problem, we can use the formula for exponential growth:
N(t) = N0 * (growth factor)^(t/tripling time), where:
N(t) is the population after time t,
N0 is the initial population size,
the growth factor is 3 since the population triples,and the tripling time is 10 hours.
Let's calculate the number of bacteria after 33 hours:
N(33) = 5000 * 3^(33/10).
First, we divide 33 by 10, which gives us 3.3 tripling intervals.
N(33) = 5000 * 3^3.3
The calculation gives us the total population after 33 hours.