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Tyrell is working in a lab testing bacteria populations. After starting out with a population of 415415 bacteria, he observes the change in population and

Tyrell is working in a lab testing bacteria populations. After starting out with a population of 415415 bacteria, he observes the change in population and notices that the population quadruples every 1717 minutes.

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Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.

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