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A culture started with 6,000 bacteria. After 3 hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number.

 Mar 7, 2020
 #1
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7,200 / 6,000 =1.2 Growth rate over 3 hours.

 

1.2^(1/3) =1.0626586 - Growth rate per hour.

 

6,000 x  1.0626586^19 =19,038  bacteria after 19 hours.

 Mar 7, 2020
 #2
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Based on my knowledge on bacteria, the growth isn't uniform, but it doesn't make sense unless if a LOT die every hour... I'll do two cases for each scenario.

 

If the growth is uniform, 7200-6000 = 1200. Since it's 3 hours, 1200/3 = 400/hour. I'm not sure if it's 19 hours AFTER the original 3 hours or after the starting time. Either multiply 400 by 19 or 16. 

 

If the growth isn't uniform: I'm pretty sure bacteria doubles... but there are a bunch of cases so I'm afraid I can't help you... sorry... if you have anyquestions please ask...

 

 

HH

 Mar 7, 2020

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