a culture started with 3000 bacteria. after 6 hours, it grew 3600 bacteria. predict how many bacteria will be present after 13 hours

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(1) Answers

supbro

In the case of bacteria, we use the continuous growth equation:
Final=Initial×e∧(r×t)
In other words, the final amount is equal to the initial amount times e to the rate times time. In order to find your rate, you would plug in the numbers as follows:
3600=3000×e∧(6r)
Therefore: r=0.03
Next, you would plug in the r value and 13 hours into the equation to solve for the final amount.
F=3000×e∧(13×0.03)=4,453 bactera after 13 hours