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

Question 1163397: The population, P, of a bacteria colony at t hours can be modeled by
.
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(52787) (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.

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