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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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

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