There are initially 4000 bacteria per milliliter in a sample, and after 1 hour their concentration increases to 6000 bacteria per milliliter. Assume the bacteria grow exponentially, using the formula A=A0ekt. Use the given information to find k. Rewrite the formula so that the only unknown values are A and t. How many bacteria are there after 2.5 hours? After how long are there 8500 bacteria per milliliter?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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  1. There are initially 4000 bacteria per milliliter in a sample, and after 1 hour their concentration increases to 6000 bacteria per milliliter. Assume the bacteria grow exponentially, using the formula A=A0ekt.
    1. Use the given information to find k.





    1. Rewrite the formula so that the only unknown values are A and t.




    1. How many bacteria are there after 2.5 hours?




    1. After how long are there 8500 bacteria per milliliter?
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