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.
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.
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...