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Juliette [100K]
3 years ago
10

A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho

w long it takes for the bacteria cells to increase to 300.
Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer

It will take (t) = 24 hours to reach 300 .

Step by step explanation

It doubles every 15 hours.  initial bacteria = 100

We need to find how long it take for the bacteria cells to increase to 300.

300 = 100(2)^t/15

300/100 = 2^t/15

3 = 2^t/5

Taking "ln" both sides, we get

ln(3) = t/15 ln(2)

t/15 = ln(3)/ln(2)

t/15 = 1.585

t = 1.585 * 15

t = 23.78 hours

t = 24 hours to nearest whole hours.

Thank you.


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