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natulia [17]
3 years ago
5

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

parameter of 7.6% per hour. How many hours does it take for the size of the sample to double?
Mathematics
1 answer:
Kazeer [188]3 years ago
7 0
Set the growth factor equal to 2
e^{.076 t} = 2
Solve for t, Take natural log of both sides
ln (e^{.076 t}) = ln(2)  \\  .076 t = ln(2)  \\ ........ \\  t = \frac{ln (2)}{.076}
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First open the bracket by multiplying with 25

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