Solutions Modeling Dynamics of Life 3ed Adler - Chapter 6.1

6.1.1 In each of the following populations, per capita production changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population during the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average per capita production in each case. Does an average greater than 1.0 always mean that the population is growing? A population starts at size 1000 and grows with per capita production ... that alternates between 0.6 and 1.5.
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6.1.2 In each of the following populations, per capita production changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population during the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average per capita production in each case. Does an average greater than 1.0 always mean that the population is growing? A population starts at size 1000 and grows with per capita production ...that alternates between 0.7 and 1.5.
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6.1.3 In each of the following populations, per capita production changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population during the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average per capita production in each case. Does an average greater than 1.0 always mean that the population is growing? A population starts at size 1000 and grows with per capita production ...that has a 3 year cycle, first 0.7, then 0.9, and then 1.6.
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6.1.4 In each of the following populations, per capita production changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population during the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average per capita production in each case. Does an average greater than 1.0 always mean that the population is growing? A population starts at size 1000 and grows with per capita production ...that has a 3 year cycle, first 0.7, then 0.9, and then 1.5.
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6.1.5 In each of the following populations, immigration changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population in each of the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average immigration in each case. Does an average greater than 0 mean that the population is growing? A population starts at size 100, and receives 10 immigrants in the first year, loses 5 emigrants in the second year, receives 10 immigrants in the third year, and so forth.
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6.1.6 In each of the following populations, immigration changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population in each of the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average immigration in each case. Does an average greater than 0 mean that the population is growing? A population starts at size 100, and receives 10 immigrants in the first year, loses 12 emigrants in the second year, receives 10 immigrants in the third year, and so forth.
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6.1.7 In each of the following populations, immigration changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population in each of the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average immigration in each case. Does an average greater than 0 mean that the population is growing? A population starts at size 50, and receives 10 immigrants in the first year, loses 12 emigrants in the second year, and gains 5 immigrants in the third year. It then repeats this 3 year cycle.
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6.1.8 In each of the following populations, immigration changes over time according to a fixed pattern (rather than a random pattern). For each population, find the population in each of the first 6 years and sketch a graph. Do you think it will grow or shrink in the long run? Find the average immigration in each case. Does an average greater than 0 mean that the population is growing? A population starts at size 20, and has a 6 year cycle: gain 1, lose 2, gain 3, lose 4, gain 3, lose 2.
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6.1.9 The following table gives the per capita production for four populations over a period of 10 years. Find the population over the 10 years starting from the given initial population, sketch a graph, and check whether the population has increased or decreased. Find the average per capita production (add up the 10 values for per capita production and divide by 10). Does an average greater than 1 always mean that the population is growing? ... Population 1 starting from 100 individuals.
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6.1.10 The following table gives the per capita production for four populations over a period of 10 years. Find the population over the 10 years starting from the given initial population, sketch a graph, and check whether the population has increased or decreased. Find the average per capita production (add up the 10 values for per capita production and divide by 10). Does an average greater than 1 always mean that the population is growing? ... Population 2 starting from 50 individuals.
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6.1.11 The following table gives the per capita production for four populations over a period of 10 years. Find the population over the 10 years starting from the given initial population, sketch a graph, and check whether the population has increased or decreased. Find the average per capita production (add up the 10 values for per capita production and divide by 10). Does an average greater than 1 always mean that the population is growing? ... Population 3 starting from 500 individuals.
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6.1.12 The following table gives the per capita production for four populations over a period of 10 years. Find the population over the 10 years starting from the given initial population, sketch a graph, and check whether the population has increased or decreased. Find the average per capita production (add up the 10 values for per capita production and divide by 10). Does an average greater than 1 always mean that the population is growing? ... Population 4 starting from 200 individuals.
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6.1.13 The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the population after 10 years starting from the given initial population, and check whether the population has increased or decreased. Find the average immigration (add up the 10 values and divide by 10). Does an average greater than 0 mean that the population is growing? ... Population 1 starting from 10 individuals.
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6.1.14 The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the population after 10 years starting from the given initial population, and check whether the population has increased or decreased. Find the average immigration (add up the 10 values and divide by 10). Does an average greater than 0 mean that the population is growing? ... Population 2 starting from 20 individuals.
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6.1.15 The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the population after 10 years starting from the given initial population, and check whether the population has increased or decreased. Find the average immigration (add up the 10 values and divide by 10). Does an average greater than 0 mean that the population is growing? ... Population 3 starting from 10 individuals.
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6.1.16 The following table gives the immigration (positive values) or emigration (negative values) for four populations over a period of 10 years. Find the population after 10 years starting from the given initial population, and check whether the population has increased or decreased. Find the average immigration (add up the 10 values and divide by 10). Does an average greater than 0 mean that the population is growing? ... Population 4 starting from 50 individuals.
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6.1.17 The following table describes populations that are growing through production. For each, sketch a graph, find the per capita production in each year, and describe the growth of the population in words. When will the population reach 500? ... What is the per capita production of population 1 during these years?
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6.1.18 The following table describes populations that are growing through production. For each, sketch a graph, find the per capita production in each year, and describe the growth of the population in words. When will the population reach 500? ... What is the per capita production of population 2 during these years?
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6.1.19 The following table describes populations that are growing through production. For each, sketch a graph, find the per capita production in each year, and describe the growth of the population in words. When will the population reach 500? ... What is the per capita production of population 3 during these years?
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