O EXPONENTIAL AND LOGARITH MIC FUNCTIONS Ma Finding the final amount in a word problem on continuous exponenti... E The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 9% per hour. Suppose that a sample culture has an initial population of 49 bacteria. Find the predicted population after four hours. Do not round any intermediate computations, and round your answer to the nearest tenth. bacteria

O EXPONENTIAL AND LOGARITH MIC FUNCTIONS Ma Finding the final amount in a word problem on continuous exponenti... E The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 9% per hour. Suppose that a sample culture has an initial population of 49 bacteria. Find the predicted population after four hours. Do not round any intermediate computations, and round your answer to the nearest tenth. bacteria

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Description: See attached O EXPONENTIAL AND LOGARITH MIC FUNCTIONSMaFinding the final amount in a word problem on continuous exponenti...EThe number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model,at

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...

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Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?
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More on the Pacific Sardine This is a continuation of Example 5.1. In this exercise, we explore the Pacific sardine population further, using the model in Example 5.1. a. If the current level of the Pacific sardine population is 50,000 tons, how long will it take for the population to recover to the optimum growth level of 1.2milliontons? Suggestion: One way to solve this is to make a new logistic formula using K2.4, r0.338, and N(0)0.05. b. The value of r used in Example 5.1 ignores the effects of fishing. If fishing mortality is taken into account, then r drops to 0.215 per year with the carrying capacity still at 2.4milliontons. Answer the question in part a using this lower value of r. Note: The population estimate of 50,000 tons and the adjusted value of r are given in the paper by Murphy see footnote 3 on page 347. Murphy points out that factoring in the growth of the competing anchovy population makes the recovery times even longer, and he adds. "It is disconcerting to realize how slowly the population will recover to its level of maximum productivity ... even if fishing stops." Studies to fit a logistic model to the Pacific sardine population have yielded. N=241+239e0.338t where t is measured in years and N is measured in millions of tons of fish. Part 1 What is r for the Pacific sardine? Part 2 According to the logistic model, in the absence of limiting factors, what would be the annual percentage growth rate for the Pacific sardine? Part 3 What is the environmental carrying capacity K? Part 4 What is the optimum yield level? Part 5 Make a graph of N versus t. Part 6 At what time t should the population he harvested? Part 7 What portion of the graph is concave up? What portion is concave down?