Answer:
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Step-by-step explanation:
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Answer:
The hourly growth rate is of 4.43%.
The function showing the number of bacteria after t hours is 
Step-by-step explanation:
Equation of population growth:
The equation for the population after t hours is given by:

In which P(0) is the initial population and r is the growth rate, as a decimal.
The conditions are such that the number of bacteria is able to double every 16 hours.
This means that
. We use this to find r.



![\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B16%5D%7B%281%2Br%29%5E%7B16%7D%7D%20%3D%20%5Csqrt%5B16%5D%7B2%7D)




The hourly growth rate is of 4.43%.
80 bacteria are placed in a petri dish.
This means that
.



The function showing the number of bacteria after t hours is 
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I believe your answer is 4 4/9 as a mixed fraction but it can also be 40/9. Hope this helps :)