carrying imports. This can be problematic because there are no natural predators to combat the growth of those posts Scientists use a model for continuous population growth to project the monthly increase in the number of insects. Suppose a particular insect 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. FORMULA FOR CONTINUOUS POPULATION GROWTH- USE THIS FORMULA FOR QUESTIONS 1-3. N-the number of insects after t months Ny the initial number of insects N(t) = Net rate of growth time in months 1. Identify the given information in this situation. a) N₂. 2. Use the information above to write a function using the formula for continuous population growth to represent the number of insects present after t months. 3. Assuming the growth remains continuous, calculate how many insects there will be at the end of 2018? Show all work. **Hint: fox 2 = 4 of months from 2016-2018.** months b) Write the function using the given information and solve for Ne! (round to the nearest whole number). c) Answer question #3 in a complete sentence.
carrying imports. This can be problematic because there are no natural predators to combat the growth of those posts Scientists use a model for continuous population growth to project the monthly increase in the number of insects. Suppose a particular insect 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. FORMULA FOR CONTINUOUS POPULATION GROWTH- USE THIS FORMULA FOR QUESTIONS 1-3. N-the number of insects after t months Ny the initial number of insects N(t) = Net rate of growth time in months 1. Identify the given information in this situation. a) N₂. 2. Use the information above to write a function using the formula for continuous population growth to represent the number of insects present after t months. 3. Assuming the growth remains continuous, calculate how many insects there will be at the end of 2018? Show all work. **Hint: fox 2 = 4 of months from 2016-2018.** months b) Write the function using the given information and solve for Ne! (round to the nearest whole number). c) Answer question #3 in a complete sentence.
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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