Streptococcus A initially has 8 bacteria and is observed to double every 1.5 hou

label Algebra
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Streptococcus A
(12,000 × magnification)
(b) Estimate the number of bacteria after 27 hours. (Round your answer to the nearest whole number.) 
 bacteria 

(c) When will the bacteria count reach 10,000? (Round your answer to one decimal place.) 

t =  h

Apr 15th, 2015

(b)

N(t) = 8*2^(27/1.5)

N(t) = 2097152 bacterias

(c)

8*2^(t/1.5) = 10000

2^(t/1.5) = 10000/8

2^(t/1.5) = 1250

t/1.5 =  ln(1250) / ln2

t = 1.5 * ln(1250) / ln2

t = 10.7

Apr 15th, 2015

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