s Of The Gr 16477105 Your best submission for each question part is used for you
ID: 3019346 • Letter: S
Question
s Of The Gr 16477105 Your best submission for each question part is used for your score. This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to double every 1.5 hours. (a) Find an exponential model n(t) . no2ta for the number of bacteria in the culture after t hours. n(t) 12-2 15) (b) Estimate the number of bacteria after 26 hours. (Round your answer to the nearest whole number.) 5.12 bacteria (c) After how many hours will the bacteria count reach 10,000? (Round your answer to one decimal place.) t = 1667 Need Help? Readt 3.34/5 points I Answers SPreCalc7 4.6003 This exercise uses the population growth model.Explanation / Answer
n(t)= n0 bt
24=12 b1.5
2=b1.5
b= 21/1.5 .
n(t)= 12 (2)t/1.5
b. t=26
n(26)= 12(2)26/1.5= 1981684
c.10000= 12 (2)t/1.5
2t/1.5=10000/12
(t/1.5) log 2= log(10000/12)
t=14.6 hours
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