Exponential Growth Functions Answers
What did you include in your response? Check all that apply.
At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. At 10:15 a.m., there are 8 cells in the bottle.
10:20 a.m.10:25 a.m.✔ 10:30 a.m.10:35 a.m.
There are 15 bacteria cells after 8 minutes.There are 15 bacteria cells after 8 hours.✔ There are 8 bacteria cells after 15 minutes.There are 8 bacteria cells after 15 hours.
⇒ 10
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At 11:30 a.m. the bottle is 1/4 of the way full. At what time will the bottle be 1/2 full?
Which statements help explain this result? Check all that apply.
Use the fact that the bacteria is doubling every five minutes. What fraction of the bottle was full at 11:20 a.m.?
The bacteria took 1 hour and 40 minutes to fill the initial bottle. Explain how it only took 10 minutes to fill 3 additional empty bottles.
Because the bacteria growth is exponential, the number of cells doubles at a constant rate. While it took a long time to reach the volume of one bottle starting from a single cell, once the bottle was full, all those cells doubled simultaneously. If the doubling time is 5 minutes, the one full bottle would produce enough cells to fill a second bottle in just 5 minutes. Then, those two full bottles would double again in the next 5 minutes, producing enough cells to fill two more bottles (for a total of four bottles) in only 10 minutes total.
At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. At 10:15 a.m., there are 8 cells in the bottle.
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