Sometimes insects native to other countries are introduced into the United States by ships carry ing 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.Assuming the growth remains continuous, how many insects will there be at the end of 2018? Show your work. Assuming the growth remains continuous, when will the number of insects reach one million? State your answer as a month and year. Explain. Scientists using a different measuring technique claim that the number of Insect X is growing in continuously at a different rate per month. They state that by the end of 2018 there will be approximately 678,200 insects. What monthly rate are they using to predict the number of insects? Show your work. Scientists notice that a different species of insect, Insect Y, also appeared at the same time as Insect X. By the end of 2016 there was an estimated 800 of Insect Y in the country. Scientists noticed they were growing continuously at a monthly rate of 22%. Assuming that the initial growth rate of 15% for Insect X was accurate, after how many months will the population of Insect X and Insect Y be equal? Show your work.

Given an insect X is introduced in USA At the end of 2016, its population is 2,000 The growth of the…

Answered: Suppose a particular insect, Insect X,…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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Sometimes insects native to other countries are introduced into the United States by ships carry ing 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.
Assuming the growth remains continuous, how many insects will there be at the end of 2018? Show your work.
Assuming the growth remains continuous, when will the number of insects reach one million? State your answer as a month and year. Explain.
Scientists using a different measuring technique claim that the number of Insect X is growing in continuously at a different rate per month. They state that by the end of 2018 there will be approximately 678,200 insects. What monthly rate are they using to predict the number of insects? Show your work.
Scientists notice that a different species of insect, Insect Y, also appeared at the same time as Insect X. By the end of 2016 there was an estimated 800 of Insect Y in the country. Scientists noticed they were growing continuously at a monthly rate of 22%. Assuming that the initial growth rate of 15% for Insect X was accurate, after how many months will the population of Insect X and Insect Y be equal? Show your work.

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