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In general, the size of a population (people, bacteria, cancer cells, etc.) follows a logistic growth pattern. The graph illustrates the growth patterns of a logistic curve. Compare an exponential curve to a logistic curve.
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Logistic growth starts off like exponential growth. At a certain point, however, the rate of growth begins to decrease. Eventually the population has reached a maximum size and is barely growing.
Exponential growth does not taper off. It continues to grow more and more rapidly as time increases.
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In general, the size of a population (people, bacteria, cancer cells, etc.) follows a logistic growth pattern. The graph illustrates the growth patterns of a logistic curve. Why is the size of a population over time better represented by a logistic growth model than an exponential growth model?
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In general, the size of a population (people, bacteria, cancer cells, etc.) follows a logistic growth pattern. The graph illustrates the growth patterns of a logistic curve. Based on the information in the table, what part of the graph represents the world population? Explain.
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The annual growth rate is decreasing. If this 30-year period is representative of the future growth of world population, then world population growth has moved into the blue part of the logistic curve.
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To find the annual growth rate represented by Moore's Law, use the formula for exponential growth, A = P(1 + r)n . Because the number of transistors doubles every 2 years, you can substitute 2P for A and 2 for n in the formula. Then solve for r as shown. Suppose the number of transistors triples every two years. What is the annual growth rate?
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What is the annual growth rate of tuition?
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To estimate the annual rate of growth, you need to find a value of r such that
After some trial and error, you can see that the value of r is about 0.154. This means that the annual rate of growth was about 15.4%.
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Using the rate from Exercise 25, what will tuition be in three more years?
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