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Romashka-Z-Leto [24]
3 years ago
12

The number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 3.5% pe

r hour.
How many hours does it take for the size of the sample to double?


Do not round any intermediate computations, and round your answer to the nearest hundredth.
Mathematics
1 answer:
uysha [10]3 years ago
3 0
Generic exponential growth model: y = Ao[1+r]^t

In this case: r = 3.5% = 0.035

y = 2Ao .....[the double of the initial value]

Then: 2Ao =Ao (1 + 0.035)^t

(1.035)^t =2

Take logarithm to both sides

t ln(1.035) = ln(2)

t = ln(2) / ln(1.035) = 0.693 / 0.0344 = 20.15

Answer: 20.15 hours.




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