SOLUTION: The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a       Log On


   

Question 1180107: The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a p, where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is 6 hours, how long will it take 8 of these bacteria to multiply into a colony of 7681 bacteria?
pls add step by step im very confused thank u for help
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem is constructed by its composer according the following principle 

    Push all known words and formulas into one box.
    Do not care about the meaning.
    and let the reader spends his (or her) time,
    while we will laugh on him.


I know the method on how to solve it.


This method is  FILTERING  OUT  ALL  UNNECESSARY  WORDS.


Following this method,  I read the problem in this way

    1)   We are given the initial number of bacteria  (8)

    2)   We are given the doubling time  (6  hours)

    3)  We are asked about the time getting  N = 7681 bacteria.


**************************************************************
    It is the standard problem on exponential growth.
************************************************************** 


    N(t) = 8*2^(t/6)


    7681 = 8^2^(t/6)


    7681%2F8 = 2^(t/6)


    960.125 = 2^(t/6)


    log%282%2C%28960.125%29%29 = t%2F6     logarithm base 2


    t = 6%2Alog%282%2C%28960.125%29%29 = 59.44 hours.      ANSWER

Solved.


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The rest of the non-necessary words in the post is  GARBAGE.


In simple terms,  posting such  "problems"  is mocking tutors.



Next time I will not allow for such gibberish to come to the forum:

        as soon as I will see it,  I will delete it  (without explanations).