Sometimes insects native to other countries are introduced into the United States by ships carrying imports....

 

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Sometimes insects native to other countries are introduced into the United States by ships carrying imports. This can be problematic because there are no natural predators to combat the growth of these pests. Scientists use a model for continuous population growth to project the monthly increase in the number of insects. Suppose a particular insect, Insect X, came into the United States and, by the time it was discovered at the end of 2016, its population was estimated to be 2,000. Scientists note that the number of insects continually increases by 15% each month. 1. Assuming the growth remains continuous, how many insects will there be at the end of 2018? Show your work. 2. Assuming the growth remains continuous, when will the number of insects reach one million? State your answer as a month and year. Explain. Sometimes insects native to other countries are introduced into the United States by ships carrying imports. This can be problematic because there are no natural predators to combat the growth of these pests. Scientists use a model for continuous population growth to project the monthly increase in the number of insects. Suppose a particular insect, Insect X, came into the United States and, by the time it was discovered at the end of 2016, its population was estimated to be 2,000. Scientists note that the number of insects continually increases by 15% each month. 1. Assuming the growth remains continuous, how many insects will there be at the end of 2018? Show your work. 2. Assuming the growth remains continuous, when will the number of insects reach one million? State your answer as a month and year. Explain.

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Answer 1 We can use the formula for continuous population growth Pt P0ert where P0 is the ... View the full answer