SOLUTION: an experimental culture has an initial population of 50 bacteria. the population increased by 80% every 20 minutes. determine the time it will take to have a population of 1.2 mill

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Question 1102431: an experimental culture has an initial population of 50 bacteria. the population increased by 80% every 20 minutes. determine the time it will take to have a population of 1.2 million bacteria.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


If the population increases by 80%, it grows by a factor of 1.80. So the expression is the population after "n" 20-minute periods. You want to know when the population will reach 1.2 million.

With the variable in the exponent, you will need to use logarithms to solve the problem.






to the nearest whole number.

The population of bacteria will reach 1.2 million after about 343 minutes.

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