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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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) About Me  (Show Source):
You can put this solution on YOUR website!
.

As described in the problem, the growth is an exponential function.


The multiplicative growth coefficient in 8 years is  120000%2F50000 = 12%2F5 = 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


    50000%2A%2812%2F5%29%2A%2812%2F5%29 = 50000%2A2.4%5E2 = 288000.     ANSWER

Solved, answered and explained.