SOLUTION: This exercise uses the population growth model.
A culture starts with 8700 bacteria. After 1 hour the count is 10,000.
(a) Find a function that models the number of bacteria n
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Question 1026385: This exercise uses the population growth model.
A culture starts with 8700 bacteria. After 1 hour the count is 10,000.
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
n(t) =
(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.)
_____bacteria
(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.)
_____hr
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
p for population
x for time in hours
Solve the model for k.
Substitute the point (1,10000).
-----which you might want only to three significant figures, or maybe just two.
If you want p after 2 hours, you could simply use and it SHOULD be the same as ; just try it /them and see. The model more specifically is .
Find x for how long to double.
Take logs of both sides and solve for x.
More simply, ---------start from this form.
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