19. Suppose the function ƒ(t) = et describes the growth of a colony of bacteria, where t is hours. Find the number of bacteria present at 5 hours.
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Answer:
To get the population of the bacteria at a time t, we just plug in the given value of t
so in this case, we will put 5 in the place of t
f(t) = [tex]e^{t}[/tex]
f(5) = [tex]e^{5}[/tex]
we know that the value of e is about 2.7. So the population of the bacteria after 5 hours will be 2.7 to the power 5
which will be equal to:
b) 148.413
note: using 2.7 in the calculation will give slightly different answer since it is an estimated value, i suggest using 'e' in the actual calculation