SOLUTION: The rate of increase in the population of a certain kind of bacteria is proportional to the
population at any time. If in the last eight years, the population increased from 5000
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population at any time. If in the last eight years, the population increased from 5000
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Question 1187770: The rate of increase in the population of a certain kind of bacteria is proportional to the
population at any time. If in the last eight years, the population increased from 50000
to 120000, what will be the population of bacteria 16 years from now? Answer by ikleyn(52803) (Show Source):
As described in the problem, the growth is an exponential function.
The multiplicative growth coefficient in 8 years is = = 2.4.
The 16-years time period is twice 8-years period.
If the multiplicative growth rate remains the same, then after 16 years the number of bacteria will be
= = 288000. ANSWER