The population after 20 minutes is 14.
We have starting point that is 10 and increasing with 3 times per hour. So, in every hour the data varies as :-
After 1 hour, the population is 3*10
After 2 hours, -> 3*3*10
After 3 hours, -> 3*3*3*10
Make a function from above observation in the increasing
number of the insects per hour
This can be generalized as a function of t, the time in hours:
f(t) = (3^t) * 10
putting the values in the function and get the desired answer,
P = (3^t) * 10
Since 20 minutes is equal to (1/3) hours, t can be substituted for
(1/3) in order to calculate the population size after 20 minutes:
P = (3^(1/3)) * 10 = 14.422 ≈ 14
The population after 20 minutes is 14.
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