SOLUTION: The growth model for a population of bacteria is given by P(t)=35e^2t where t is measured in days. What is the initial amount of bacteria in the population? The correct answer

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Question 1199087: The growth model for a population of bacteria is given by P(t)=35e^2t where t is measured in days.
What is the initial amount of bacteria in the population?
The correct answer is one of the following. Which one is correct?
A) 2
B) 35
C) 70
D) 1

Found 2 solutions by htmentor, MathTherapy:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The initial amount is the amount at t=0:
P(0) = 35e^(2*0) = 35*1 = 35
Ans: B

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The growth model for a population of bacteria is given by P(t)=35e^2t where t is measured in days.
What is the initial amount of bacteria in the population?
The correct answer is one of the following. Which one is correct?
A) 2
B) 35
C) 70
D) 1
   REGULAR GROWTH/DECAY formula: matrix%281%2C3%2C+A%2C+%22=%22%2C+A%5Bo%5Dk%5Et%29 

CONTINUOUS GROWTH/DECAY formula: matrix%281%2C3%2C+A%2C+%22=%22%2C+A%5Bo%5De%5E%28kt%29%29, with Ao being the ORIGINAL AMOUNT of substance.

Now, compare and you should have the answer.