SOLUTION: A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an exponential model for the size of the culture as a function of time t in hours.
f(t)
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f(t)
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Question 1179797: A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an exponential model for the size of the culture as a function of time t in hours.
f(t) =______
Correct: Your answer is correct.
Use the model to predict how many bacteria there will be after 2 days. (Round your answer to the nearest hundred thousand.)
_____ bacteria Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39618) (Show Source):
An exponential model has the form
N(t) = ,
where "a" is the initial number of bacteria, "b" is the base of the exponential function and t is the time in hours.
In our case, the initial value is a = 800; so we can write this equation
1280 = ,
describing the scene in 2 hours.
From this equation,
b = = = 1.264911.
So, your exponential function is
N(t) = . ANSWER
First question is answered.
To answer the second question, substitute t = 48 hours ("2 days") into the formula
N(24) = = 63382376. ANSWER
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The problem is fully solved.
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To see many similar (and different) solved problems on bacteria growth, look into the lesson
- Bacteria growth problems
in this site.
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