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Math Mathematics: A Practical Odyssey

In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion. a. Develop the mathematical model that represents world population. b. Use the model to predict when world population would reach the "somewhat comfortable" level of 10 billion. c. Use the model to predict when world population would reach "the earth's ultimate carrying capacity" of 30 billion.

In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion. a. Develop the mathematical model that represents world population. b. Use the model to predict when world population would reach the "somewhat comfortable" level of 10 billion. c. Use the model to predict when world population would reach "the earth's ultimate carrying capacity" of 30 billion.

Solution Summary: The author explains the mathematical model that represents the world population: p(t)=aebt

Mathematics: A Practical Odyssey

Mathematics: A Practical Odyssey

8th Edition

ISBN: 9781305104174

Author: David B. Johnson, Thomas A. Mowry

Publisher: Cengage Learning

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 10.1, Problem 22E

In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion.

a. Develop the mathematical model that represents world population.

b. Use the model to predict when world population would reach the "somewhat comfortable" level of 10 billion.

c. Use the model to predict when world population would reach "the earth's ultimate carrying capacity" of 30 billion.

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Chapter 10.1, Problem 21E

Chapter 10.1, Problem 23E

Chapter 10 Solutions

Mathematics: A Practical Odyssey

Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 2E Ch. 10.0A - Prob. 3E Ch. 10.0A - Prob. 4E Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 6E Ch. 10.0A - Prob. 7E Ch. 10.0A - Prob. 8E Ch. 10.0A - Prob. 9E Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....

Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 12E Ch. 10.0A - Prob. 13E Ch. 10.0A - Prob. 14E Ch. 10.0A - Prob. 15E Ch. 10.0A - Prob. 16E Ch. 10.0A - Prob. 17E Ch. 10.0A - Prob. 18E Ch. 10.0A - Prob. 19E Ch. 10.0A - Prob. 20E Ch. 10.0A - Prob. 21E Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 24E Ch. 10.0A - Prob. 25E Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 27E Ch. 10.0A - Prob. 28E Ch. 10.0A - Prob. 29E Ch. 10.0A - Prob. 30E Ch. 10.0A - Prob. 31E Ch. 10.0A - Prob. 32E Ch. 10.0A - Prob. 33E Ch. 10.0A - Prob. 34E Ch. 10.0A - Prob. 35E Ch. 10.0A - Prob. 36E Ch. 10.0A - Prob. 37E Ch. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 39E Ch. 10.0A - Prob. 40E Ch. 10.0A - Prob. 41E Ch. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 43E Ch. 10.0A - Prob. 44E Ch. 10.0A - Prob. 45E Ch. 10.0A - Prob. 46E Ch. 10.0A - Prob. 47E Ch. 10.0A - Prob. 48E Ch. 10.0A - Prob. 49E Ch. 10.0A - Prob. 50E Ch. 10.0A - Prob. 51E Ch. 10.0A - Prob. 52E Ch. 10.0A - Prob. 53E Ch. 10.0A - Prob. 54E Ch. 10.0A - Prob. 55E Ch. 10.0A - Prob. 56E Ch. 10.0A - Prob. 57E Ch. 10.0A - Prob. 58E Ch. 10.0A - Prob. 59E Ch. 10.0A - Prob. 60E Ch. 10.0A - Prob. 61E Ch. 10.0A - Prob. 62E Ch. 10.0A - Prob. 63E Ch. 10.0A - Prob. 64E Ch. 10.0A - Prob. 65E Ch. 10.0A - Prob. 66E Ch. 10.0A - Prob. 67E Ch. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 2E Ch. 10.0B - Prob. 3E Ch. 10.0B - Prob. 4E Ch. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 6E Ch. 10.0B - Prob. 7E Ch. 10.0B - Prob. 8E Ch. 10.0B - Prob. 9E Ch. 10.0B - Prob. 10E Ch. 10.0B - Prob. 11E Ch. 10.0B - Prob. 12E Ch. 10.0B - Prob. 13E Ch. 10.0B - Prob. 14E Ch. 10.0B - In Exercises 13-22, rewrite the given logarithm so...Ch. 10.0B - Prob. 16E Ch. 10.0B - Prob. 17E Ch. 10.0B - Prob. 18E Ch. 10.0B - Prob. 19E Ch. 10.0B - Prob. 20E Ch. 10.0B - In Exercises 13-12, rewrite the given logarithm so...Ch. 10.0B - Prob. 22E Ch. 10.0B - Prob. 23E Ch. 10.0B - Prob. 24E Ch. 10.0B - Prob. 25E Ch. 10.0B - Prob. 26E Ch. 10.0B - Prob. 27E Ch. 10.0B - Prob. 28E Ch. 10.0B - Prob. 29E Ch. 10.0B - Prob. 30E Ch. 10.0B - Prob. 31E Ch. 10.0B - Prob. 32E Ch. 10.0B - Prob. 33E Ch. 10.0B - Prob. 34E Ch. 10.0B - Prob. 35E Ch. 10.0B - Prob. 36E Ch. 10.0B - Prob. 37E Ch. 10.0B - Prob. 38E Ch. 10.0B - Prob. 39E Ch. 10.0B - Prob. 40E Ch. 10.0B - Prob. 41E Ch. 10.0B - Prob. 42E Ch. 10.0B - Prob. 43E Ch. 10.0B - Prob. 44E Ch. 10.0B - Prob. 45E Ch. 10.0B - Prob. 46E Ch. 10.0B - Prob. 47E Ch. 10.0B - Prob. 48E Ch. 10.0B - Prob. 49E Ch. 10.0B - Prob. 50E Ch. 10.0B - Prob. 51E Ch. 10.0B - Prob. 52E Ch. 10.0B - Prob. 53E Ch. 10.0B - Prob. 54E Ch. 10.0B - Prob. 55E Ch. 10.0B - Prob. 56E Ch. 10.0B - Prob. 57E Ch. 10.0B - Prob. 58E Ch. 10.0B - Prob. 59E Ch. 10.0B - Prob. 60E Ch. 10.0B - Prob. 61E Ch. 10.0B - Prob. 62E Ch. 10.0B - Prob. 63E Ch. 10.0B - Prob. 64E Ch. 10.0B - Prob. 65E Ch. 10.0B - Prob. 66E Ch. 10.0B - Exercises 59-70 refer to Example 10. You want to...Ch. 10.0B - Prob. 68E Ch. 10.0B - Prob. 69E Ch. 10.0B - Prob. 70E Ch. 10.0B - Prob. 71E Ch. 10.0B - Prob. 72E Ch. 10.0B - Prob. 73E Ch. 10.0B - Prob. 74E Ch. 10.0B - Prob. 75E Ch. 10.0B - Prob. 76E Ch. 10.0B - Prob. 77E Ch. 10.0B - Prob. 78E Ch. 10.0B - Prob. 79E Ch. 10.0B - Prob. 80E Ch. 10.0B - Prob. 81E Ch. 10.0B - Prob. 82E Ch. 10.0B - Prob. 83E Ch. 10.0B - Prob. 84E Ch. 10.0B - Prob. 85E Ch. 10.0B - Prob. 86E Ch. 10.1 - Use the model p=30e0.0198026273t developed in...Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - A biologist is conducting an experiment that...Ch. 10.1 - A university keeps a number of mice for psychology...Ch. 10.1 - Prob. 15E Ch. 10.1 - In July 2012, Alvarado Niles bought a house for...Ch. 10.1 - An October 2009 article in The Industry Standard...Ch. 10.1 - According to a September9,2007, article in ZDNet,...Ch. 10.1 - The number of cell phone subscribers has been...Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - In 1969, the National Academy of Sciences...Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Use the data in Exercise 22 to complete the...Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.2 - Using the model Q=20e0.086643397t developed in...Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Using the model Q=8.2e0.053319013t developed in...Ch. 10.2 - Silicon-31 is used to diagnose certain medical...Ch. 10.2 - Plutonium-238 is used as a compact source of...Ch. 10.2 - How long will it take 64grams of magnesium 28 to...Ch. 10.2 - Prob. 8E Ch. 10.2 - How long will it take 500grams of plutonium-241 to...Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - How long will it take a given quantity of...Ch. 10.2 - How long will it take a given quantity of...Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - In March 2011, the Fukushima Daiichi nuclear power...Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - A lab technician had 58 grams of a radioactive...Ch. 10.2 - A lab technician had 32 grams of a radioactive...Ch. 10.2 - In 1989, a Mayan codex a remnant of ancient...Ch. 10.2 - Two Ohlone Indian skeletons, along with burial...Ch. 10.2 - In 1940, beautiful prehistoric cave paintings of...Ch. 10.2 - Prob. 26E Ch. 10.2 - An ancient parchment contained 70 of the expected...Ch. 10.2 - Prob. 28E Ch. 10.2 - Prob. 29E Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - How much carbon-14 would you expect to find in a...Ch. 10.2 - Prob. 33E Ch. 10.2 - A museum claims that one of its skeleton is 9,000...Ch. 10.2 - Prob. 35E Ch. 10.2 - Prob. 36E Ch. 10.2 - Prob. 37E Ch. 10.2 - In Example 8, we determined that 0.891(or89.1) of...Ch. 10.2 - Prob. 39E Ch. 10.2 - Prob. 40E Ch. 10.2 - Prob. 41E Ch. 10.2 - Prob. 42E Ch. 10.2 - Prob. 43E Ch. 10.2 - What does the phrase half-life mean?Ch. 10.2 - Prob. 45E Ch. 10.2 - Prob. 46E Ch. 10.2 - Prob. 47E Ch. 10.2 - Prob. 48E Ch. 10.2 - Prob. 49E Ch. 10.2 - Prob. 50E Ch. 10.2 - Prob. 51E Ch. 10.2 - Prob. 52E Ch. 10.2 - Prob. 53E Ch. 10.2 - Prob. 54E Ch. 10.2 - Prob. 55E Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Shortly after the 1989 San Francisco quake, it was...Ch. 10.3 - Prob. 14E Ch. 10.3 - Prob. 15E Ch. 10.3 - Prob. 16E Ch. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 18E Ch. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - In Exercises 21-24, find the dB gain for the given...Ch. 10.3 - Prob. 23E Ch. 10.3 - Prob. 24E Ch. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - Prob. 27E Ch. 10.3 - Prob. 28E Ch. 10.3 - Prob. 29E Ch. 10.3 - If a single trumpet is playing at 78dB, how many...Ch. 10.3 - Prob. 31E Ch. 10.3 - Find a rule of thumb for the dB gain if the number...Ch. 10.3 - Prob. 33E Ch. 10.3 - Prob. 34E Ch. 10.3 - Prob. 35E Ch. 10.3 - Prob. 36E Ch. 10.3 - Prob. 37E Ch. 10.3 - Prob. 38E Ch. 10.3 - Prob. 39E Ch. 10.3 - Prob. 40E Ch. 10.CR - In Exercise 1-3, find the value of x. x=log381 Ch. 10.CR - Prob. 2CR Ch. 10.CR - Prob. 3CR Ch. 10.CR - Prob. 4CR Ch. 10.CR - Prob. 5CR Ch. 10.CR - Prob. 6CR Ch. 10.CR - Prob. 7CR Ch. 10.CR - Prob. 8CR Ch. 10.CR - Prob. 9CR Ch. 10.CR - Prob. 10CR Ch. 10.CR - Prob. 11CR Ch. 10.CR - Prob. 12CR Ch. 10.CR - Prob. 13CR Ch. 10.CR - Prob. 14CR Ch. 10.CR - Prob. 15CR Ch. 10.CR - Prob. 16CR Ch. 10.CR - Prob. 17CR Ch. 10.CR - Prob. 18CR Ch. 10.CR - Prob. 19CR Ch. 10.CR - Prob. 20CR Ch. 10.CR - Prob. 21CR Ch. 10.CR - Prob. 22CR Ch. 10.CR - Prob. 23CR Ch. 10.CR - Prob. 24CR Ch. 10.CR - Prob. 25CR Ch. 10.CR - Prob. 26CR Ch. 10.CR - Prob. 27CR Ch. 10.CR - Prob. 28CR Ch. 10.CR - Prob. 29CR Ch. 10.CR - Prob. 30CR Ch. 10.CR - Prob. 31CR Ch. 10.CR - Prob. 32CR Ch. 10.CR - Prob. 33CR Ch. 10.CR - Prob. 34CR Ch. 10.CR - Prob. 35CR

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