SOLUTION: The population, P, of a bacteria colony at t hours can be modeled by {{{ P(t) = 500 + t + t^2 }}}. a. What is the initial population of the bacteria colony? b. What is the gro

Algebra ->  Finance -> SOLUTION: The population, P, of a bacteria colony at t hours can be modeled by {{{ P(t) = 500 + t + t^2 }}}. a. What is the initial population of the bacteria colony? b. What is the gro      Log On


   

Question 1163397: The population, P, of a bacteria colony at t hours can be modeled by
+P%28t%29+=+500+%2B+t+%2B+t%5E2+.
a. What is the initial population of the bacteria colony?
b. What is the growth rate of the colony at 3 hours?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  Substitute t= 0 into the formula and calculate.



(b)  Substitute t= 3 into the derivative function and calculate.



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Comment from student: For question b aren’t they asking for growth rate. And not the population at three hours.
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My response :   Your comment/note is  FAULT.

What I propose you to do,  is  EXACTLY  about on how to calculate the growth rate, using the derivative.

If you do not understand it,  it means that you are in wrong class.