A bacteria culture starts with 700 bacteria and doubles in size every half hour.
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# A bacteria culture starts with 700 bacteria and doubles in size every half hour.

[From: ] [author: ] [Date: 11-09-05] [Hit: ]
ln71.6.3.3.......
(a) How many bacteria are there after 3 hours?
b) How many bacteria are there after t hours?
(c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)
(d) Graph the population function and estimate the time for the population to reach 50,000. (Give your answer to the nearest tenth.)
hours

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a) 44800
700(2^6). In 3 hours there are 6 30-minute intervals
b) 700(2^2t)=bacteria
you need to multiply t by 2 because the bacteria double every half hour
c) 700(2^2(.67))=1772 bacteria
40 minutes is equal to .67 hours
d) I will not graph for you LOL, but to reach 50,000
50000=700(2^2t)
71.429=2^2t now use ln
ln71.429=2t(ln2) divide by ln2
6.159=2t divide by 2
3.08=t
3.1 hours
1
keywords: and,with,culture,doubles,700,starts,bacteria,in,size,every,half,hour,A bacteria culture starts with 700 bacteria and doubles in size every half hour.
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