To determine Human doubling. a. Extend the given table b. When would people be crowded so that every person has only 1 m 2 of space? c. When there be 10 4 m 2 area for each person to survive. d. Could humanity fit in the solar system in the year 3000? Explanation Given: a. Human population in 2000 = 6 billion = 6 × 10 9 Population doubling time = 50 years The sample table is given as; year Population 2000 6 × 10 9 2050 12 × 10 9 =1 .2 × 10 10 2100 24 × 10 9 =2 .4 × 10 10 . . . . b. Total surface area of earth = 5.1 × 10 14 m 2 Space per person = 1 m 2 c. Area per person to survive = 10 4 m 2 d. The total surface area of the worlds in the solar system = 5 times surface area of earth = 5 × 5.1 × 10 14 m 2 Formula used: Space per person = Total surface area Total population Calculation: a. The population doubles in 50 years, the table is completed as shown below. Year Population 2000 6 × 10 9 2050 12 × 10 9 =1 .2 × 10 10 2100 24 × 10 9 =2 .4 × 10 10 2150 48 × 10 9 =4 .8 × 10 10 2200 96 × 10 9 =9 .6 × 10 10 2250 192 × 10 9 =1 .92 × 10 11 2300 384 × 10 9 =3 .84 × 10 11 2350 768 × 10 9 =7 .68 × 10 11 2400 1536 × 10 9 =1 .54 × 10 12 2450 3072 × 10 9 =3 .07 × 10 12 2500 6144 × 10 9 =6 .14 × 10 12 2550 12288 × 10 9 =1 .23 × 10 13 2600 24576 × 10 9 =2 .5 × 10 13 2650 49152 × 10 9 =4 .9 × 10 13 2700 98304 × 10 9 =9 .8 × 10 13 2750 196608 × 10 9 =1 .97 × 10 14 2800 393216 × 10 9 =3 .9 × 10 14 2850 786432 × 10 9 =7 ...

Pearson eText for Using & Understanding Mathematics: A Quantitative Reasoning Approach -- Instant Access (Pearson+)

7th Edition

ISBN: 9780137553334

Author: Jeffrey Bennett, William Briggs

Publisher: PEARSON+

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Chapter 8.A, Problem 29E

To determine

Human doubling.

a. Extend the given table

b. When would people be crowded so that every person has only 1 m² of space?

c. When there be 10⁴ m² area for each person to survive.

d. Could humanity fit in the solar system in the year 3000?

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Chapter 8.A, Problem 28E

Chapter 8.A, Problem 30E

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Chapter 8 Solutions

Pearson eText for Using & Understanding Mathematics: A Quantitative Reasoning Approach -- Instant Access (Pearson+)

Ch. 8.A - A town’s population increases in one year from...Ch. 8.A - A town’s population increases in one year from...Ch. 8.A - The balance owed your credit card doubles from...Ch. 8.A - The number Of songs in your iPod has increased...Ch. 8.A - Which of the following is in example of...Ch. 8.A - On a chessboard with 64 squares, you place 1 penny...Ch. 8.A - At 11:00 you place a single bacterium in a bottle,...Ch. 8.A - Consider the bacterial population described in...Ch. 8.A - Consider the bacterial population described in...Ch. 8.A - Which of the following is not true of any...

Ch. 8.A - Describe basic differences between linear growth...Ch. 8.A - 2. Briefly explain how repeated doublings...Ch. 8.A - Briefly summarize the Story Of the bacteria in the...Ch. 8.A - Explain the meaning Of the two key facts about...Ch. 8.A - Decide whether each of the following statements...Ch. 8.A - Suppose you had a magic hank account in which your...Ch. 8.A - A small town that grows exponentially can become a...Ch. 8.A - H. Human population has been growing exponentially...Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Prob. 10E Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Prob. 12E Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - 9-16: Linear or Exponential? State whether the...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - 29. Human Doubling. Human population in the year...Ch. 8.A - Doubling Time versus Initial Amount. a. Would you...Ch. 8.A - Facebook Users. The table shows the number of...Ch. 8.A - Prob. 32E Ch. 8.A - Exponential Growth. Identify at least two news...Ch. 8.A - Prob. 34E Ch. 8.A - Prob. 35E Ch. 8.B - Prob. 1QQ Ch. 8.B - Suppose your salary increases at a rate of 4.5%...Ch. 8.B - Which of the following is not a good approximation...Ch. 8.B - A town’s population doubles in 23 years. Its...Ch. 8.B - Radioactive tritium (hvdrogen-3) has a halt-life...Ch. 8.B - Radioactive uramum-235 has a hall-life of about...Ch. 8.B - The population of an endangered species decreases...Ch. 8.B - log10108= a.100,000,000 b. 108 c.8 Ch. 8.B - A rural popular ion decreases at a rate of 20% per...Ch. 8.B - Prob. 10QQ Ch. 8.B - What is a doubling tune? Suppose a population has...Ch. 8.B - Prob. 2E Ch. 8.B - State the approximate doubting time formula and...Ch. 8.B - Prob. 4E Ch. 8.B - Prob. 5E Ch. 8.B - 6. State the approximate hall-life formula and the...Ch. 8.B - 7. Briefly describe exact doubling time and...Ch. 8.B - 8. Give an example in which it is important to use...Ch. 8.B - Our town is growing with a doubling time of 25...Ch. 8.B - Our town is growing at a rate of 7% per year, so...Ch. 8.B - A toxic chemical decays with a hall-life of 10...Ch. 8.B - The hall-life of plutomum-239 is about 24,000...Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Prob. 15E Ch. 8.B - Prob. 16E Ch. 8.B - 13-24: Logarithms. Refer to the Brief Review on p....Ch. 8.B - Prob. 18E Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - 13-24: Logarithms. Refer to the Brief Review on p....Ch. 8.B - Prob. 22E Ch. 8.B - Prob. 23E Ch. 8.B - 23-24. Logarithm Calculations 24. Using the...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - 25-32: Doubling Time. Each exercise gives a...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - 25-32: Doubling Time. Each exercise gives a...Ch. 8.B - World Population. In 2017, estimated world...Ch. 8.B - World Population. In 2017, estimated world...Ch. 8.B - 31. Rabbits. A community of rabbits begins with an...Ch. 8.B - Prob. 36E Ch. 8.B - Approximate Doubling Time Formula. Use the...Ch. 8.B - 37-40: Approximate Doubling Time Formula. Use the...Ch. 8.B - Approximate Doubling Time Formula. Use the...Ch. 8.B - 37-40: Approximate Doubling Time Formula. Use the...Ch. 8.B - Half-Life. Each exercise gives a half-life for an...Ch. 8.B - Half-Life. Each exercise gives a half-life for an...Ch. 8.B - Half-Life. Each exercise gives a half-life for an...Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41-48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41-48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Approximate Half-Life Formula. Use the approximate...Ch. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Approximate Half-Life Formula. Use the approximate...Ch. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Prob. 53E Ch. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Prob. 57E Ch. 8.B - 58. Nuclear Weapons. Thermonuclear weapons use...Ch. 8.B - Prob. 59E Ch. 8.B - Yucca Mountain. The U.S. government spent nearly...Ch. 8.B - Crime Rate. The homicide rate decreases at a rate...Ch. 8.B - Drug Metabolism. 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If birth rates fall more than death rates, the...Ch. 8.C - The carrying capacity of our planet depends only...Ch. 8.C - to rapid increases in computing technology, we...Ch. 8.C - In the wild, we always expect the population of...Ch. 8.C - 12. Past civilizations that no longer exist must...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Birth and Death Rates. The following table gives...Ch. 8.C - 17-20: Birth and Death Rates. The following table...Ch. 8.C - 17-20: Birth and Death Rates. The following table...Ch. 8.C - Birth and Death Rates. The following table gives...Ch. 8.C - 21. Logistic Growth. Consider a population that...Ch. 8.C - Logistic Growth. Consider a population that begins...Ch. 8.C - U.S Population. Starting from an estimated U.S....Ch. 8.C - Prob. 24E Ch. 8.C - Prob. 25E Ch. 8.C - Prob. 26E Ch. 8.C - Prob. 27E Ch. 8.C - 28. Slower Growth. Repeat Exercise 27, but use a...Ch. 8.C - Prob. 29E Ch. 8.C - World Carrying Capacity. For the given carrying...Ch. 8.C - 29-32: World Carrying Capacity. For the given...Ch. 8.C - 29-32: World Carrying Capacity. For the given...Ch. 8.C - Prob. 33E Ch. 8.C - Prob. 34 Ch. 8.C - Population Predictions. Find population...Ch. 8.C - Prob. 36E Ch. 8.C - Prob. 37E Ch. 8.C - Prob. 38E Ch. 8.C - Prob. 39E Ch. 8.C - Prob. 40E Ch. 8.D - Prob. 1QQ Ch. 8.D - Prob. 2QQ Ch. 8.D - 3. What is a 0-decibel sound? the softest sound...Ch. 8.D - 4. A sound of 85 decibels is defined to be a. 85...Ch. 8.D - Prob. 5QQ Ch. 8.D - Prob. 6QQ Ch. 8.D - Prob. 7QQ Ch. 8.D - Prob. 8QQ Ch. 8.D - Prob. 9QQ Ch. 8.D - Prob. 10QQ Ch. 8.D - What is the magnitude scale for earthquakes? What...Ch. 8.D - What is the decibel scale? Describe how it is...Ch. 8.D - What is pH? 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Human doubling. a. Extend the given table b. When would people be crowded so that every person has only 1 m 2 of space? c. When there be 10 4 m 2 area for each person to survive. d. Could humanity fit in the solar system in the year 3000?

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Human doubling. a. Extend the given table b. When would people be crowded so that every person has only 1 m2 of space? c. When there be 104 m2 area for each person to survive. d. Could humanity fit in the solar system in the year 3000?

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Chapter 8 Solutions

Human doubling.

a. Extend the given table

b. When would people be crowded so that every person has only 1 m² of space?

c. When there be 10⁴ m² area for each person to survive.

d. Could humanity fit in the solar system in the year 3000?