SOLUTION: A bacteria culture doubles in size every 8 hrs. The culture starts with 150 cells. How many will there be after 24 hrs? 72hrs?
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Question 178871: A bacteria culture doubles in size every 8 hrs. The culture starts with 150 cells. How many will there be after 24 hrs? 72hrs?
Found 2 solutions by stanbon, Mathtut:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bacteria culture doubles in size every 8 hrs. The culture starts with 150 cells. How many will there be after 24 hrs? 72hrs?
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A(t) = A(0)*2^(t/8)
A(24) = 150*2^(24/8) = 150*2^3 = 150*8 = 1200
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A(72) = 150*2^(72/8) = 150*2^9 = 76800
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Cheers,
Stan H.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
if x is the initial amount
:
where n is the number of times it doubles.
:
24/8=3 times that it doubles
:
so
:
150(2)^3=1200 cells after 24 hours
:
72/8=9
:
150(2)^9=150(512)=76800 cells after 72 hours
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