Question 195269This question is from textbook
: A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours? Here is the answer, I was told I have a typo in it, cannot find it.
Growth Formula
A(t)=Ao(2)^(t4) where t is the number of minutes after t=0
A(300)= 1*2^(300/4)
A(300)=2^(75)
A(300)= 3.77x10^22 cells
Thanks
This question is from textbook
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source):
Answer by Edwin McCravy(20060)  (Show Source):
You can put this solution on YOUR website! A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours? Here is the answer, I was told I have a typo in it, cannot find it.
Growth Formula
A(t)=Ao(2)^(t4) where t is the number of minutes after t=0
A(300)= 1*2^(300/4)
A(300)=2^(75)
A(300)= 3.77x10^22 cells
Thanks
At the beginning there is 1, or 2^0 cells.
At the instant the 1st four minutes is up, there will be 2, or 2^1 cells.
At the instant the 2nd four minutes is up, there will be 4, or 2^2 cells.
At the instant the 3rd four minutes is up, there will be 8, or 2^3 cells.
At the instant the 4th four minutes is up, there will be 16, or 2^4 cells.
At the instant the 5th four minutes is up, there will be 8, or 2^5 cells.
Every hour consists of 15 four-minute periods, since 60 divided by 4 is 15.
So 5 hours consiste of 5x15 or 75 four-minute periods, therefore
At the instant the 5th four minutes is up, there will be 8, or 2^75 cells.
So the answer is 2^75 which is a 23-digit number.
So A(300)=2^(75)
would be the correct choice. The 300 is because there are 300 minutes
in 5 hours.
Edwin
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