okmarksWindowHelpA edfinity.comMATH 1314 13 Pre Calculus Algebra06.7 Exponential and Logarithmic Models - Edfinity-7 Exponential and Logarithmic ModelsOPENTurned in automatically wThe population of a fish farm in is modeled by the equation1000P(t) =2+ 8e-0.5twhere t is time in years.Part 1What is the size of the initial population?* fishhelp (numbers)Part 2What is the doubling time for this population?Round your answer to the nearest tenth.yearsCookies help us deliver our services. By using our services, you agree to our use of cookies.Learn moreOK29tvMacBook Pro80888%23568.Y ry BookmarksWindow HelpMon Nov 29 5:1A edfinity.comFall 2021 MATH 1314 13 Pre Calculus Algebra00 6.7 Exponential and Logarithmic Models - Edfinity6.7 Exponential and Logarithmic Models OPENTurned in automatically when late period ePart 3What is the size of the population after 5 years?Round to the nearest whole number.fishPart 4How long will it take until the population contains 450 individuals?Round to the nearest tenth.. yearsPart 5Estimate the carrying capacity of the pond by evaluating the function at larger and larger values of t.Your answer should be a whole number.fishCookies help us deliver our services. By using our services, you agree to our use of cookies.OKLearn more29étvMacBook Pro80888%23&*58.9.EYU

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okmarks Window Help A edfinity.com MATH 1314 13 Pre Calculus Algebra 00 6.7 Exponential and Logarithmic Models - Edfinity -7 Exponential and Logarithmic Models OPEN Turned in automatically w The population of a fish farm in is modeled by the equation 1000 P(t) = 2+ 8e-0.5t where t is time in years. Part 1 What is the size of the initial population? * fish help (numbers) Part 2 What is the doubling time for this population? Round your answer to the nearest tenth. years Cookies help us deliver our services. By using our services, you agree to our use of cookies. Learn more OK 29 tv MacBook Pro 80 888 %23 4. 5 6 9. T Y U * CO

okmarks Window Help A edfinity.com MATH 1314 13 Pre Calculus Algebra 00 6.7 Exponential and Logarithmic Models - Edfinity -7 Exponential and Logarithmic Models OPEN Turned in automatically w The population of a fish farm in is modeled by the equation 1000 P(t) = 2+ 8e-0.5t where t is time in years. Part 1 What is the size of the initial population? * fish help (numbers) Part 2 What is the doubling time for this population? Round your answer to the nearest tenth. years Cookies help us deliver our services. By using our services, you agree to our use of cookies. Learn more OK 29 tv MacBook Pro 80 888 %23 4. 5 6 9. T Y U * CO

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?
Use a calculator to help solve each problem. World population growth See Exercise 23. Assuming a Malthusian growth model, find the world population in 40 years. 23. World population growth The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assuming a Malthusian growth model, find the world population in 30 years.
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
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?