Question 137122
The number of bacteria in a large sealed jar doubles every minute. An hour after the first bacteria was put into the jar and sealed in, the jar was full. When was it half full?
:
Let A = amt in the full jar (60 min)
:
A = 2^60
A = 1.153(10^18) which is several
:
Half of this amt should make the jar half full:
.5 * 1.153(10^18) = 5.765(10^17)
:
Let t = number of minutes
2^t = 5.765(10^17)
:
t*log(2) = log(5.765(10^17)
;
.301t = 17.7608
t = {{{17.7608/.301}}}
t = 59 min, which we should have known, since it doubles every minute!