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28. (0, 15), y = 60 (8, 30) X

28. (0, 15), y = 60 (8, 30) X

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2012 SECTION 3.2 Exponential and Logistic Modeling 265 In Exercises 27 and 28, determine a formula for the logistic function whose graph is shown in the figure. 27. y (0,5), y = 20 (2, 10) 28. (0, 15) y = 60 (8, 30) 29. Exponential Growth In 2000 the population of Jacksonville, Florida, was 736,000 and was increasing at the rate of 1.49% each year. At that rate, when will the population be 1 million? 30. Exponential Growth In 2000 the population of Las Vegas, Nevada, was 478,000 and was increasing at the rate of 6.28% each year. At that rate, when should the population have reached 1 million? 31. Exponential Growth The population of Smallville in the year 1890 was 6250. Assume the population increased at a rate of 2.75% per year. (a) Estimate the population in 1915 and 1940. (b) Predict when the population reached 50,000. lds 32. Exponential Growth The population of River City in the year 1910 was 4200. Assume the population increased at a rate of 2.25% per year. (a) Estimate the population in 1930 and 1945. (b) Predict when the population reached 20,000. 33. Radioactive Decay The half-life of a certain radioactive substance is 14 days. There are 6.6 g present initially. (a) Express the amount of substance remaining as a function of time 1. (b) When will there be less than 1 g remaining? 34. Radioactive Decay The half-life of a certain radioactive substance is 65 days. There are 3.5 g present initially. ount of substance remaining as a function
Transcribed Image Text:2012 SECTION 3.2 Exponential and Logistic Modeling 265 In Exercises 27 and 28, determine a formula for the logistic function whose graph is shown in the figure. 27. y (0,5), y = 20 (2, 10) 28. (0, 15) y = 60 (8, 30) 29. Exponential Growth In 2000 the population of Jacksonville, Florida, was 736,000 and was increasing at the rate of 1.49% each year. At that rate, when will the population be 1 million? 30. Exponential Growth In 2000 the population of Las Vegas, Nevada, was 478,000 and was increasing at the rate of 6.28% each year. At that rate, when should the population have reached 1 million? 31. Exponential Growth The population of Smallville in the year 1890 was 6250. Assume the population increased at a rate of 2.75% per year. (a) Estimate the population in 1915 and 1940. (b) Predict when the population reached 50,000. lds 32. Exponential Growth The population of River City in the year 1910 was 4200. Assume the population increased at a rate of 2.25% per year. (a) Estimate the population in 1930 and 1945. (b) Predict when the population reached 20,000. 33. Radioactive Decay The half-life of a certain radioactive substance is 14 days. There are 6.6 g present initially. (a) Express the amount of substance remaining as a function of time 1. (b) When will there be less than 1 g remaining? 34. Radioactive Decay The half-life of a certain radioactive substance is 65 days. There are 3.5 g present initially. ount of substance remaining as a function
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