Question

The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 15% per hour. Suppose that a sample culture has an initial population of 18 bacteria. Find the population predicted after three hours, according to the model. Round to the nearest tenth.

          The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 15% per hour. Suppose that a sample culture has an initial population of 18 bacteria. Find the population predicted after three hours, according to the model. Round to the nearest tenth.
        
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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 15% per hour. Suppose that a sample culture has an initial population of 18 bacteria. Find the population predicted after three hours, according to the model. Round to the nearest tenth.
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Transcript

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00:01 In this question, we are going to write an exponential growth model using the given information to predict the population after four hours.
00:15 The population is calculated with the initial amount times e to the 0 .0015, 15 % changed to a decimal.
00:37 Oh, i did that too much.
00:43 15 % changed to a decimal is 0 .15...
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