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Exponential and Logistic Modeling 2013 - 2014

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Determine the exponential function with initial value = 12, increasing at a rate of 8% per year.

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Initial mass = 15 g, decreasing at a rate of 4.6% per day

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Initial value = 5, decreasing at a rate of 0.59% per week

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Initial population = 502,000, increasing at a rate of 1.7% per year

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Suppose a culture of 100 bacteria is put into a petri dish and the culture doubles every hour. Predict when the number of bacteria will be 350,000.

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Suppose the half-life of a certain radioactive substance is 20 days and there are 5 grams present initially. Find the time when there will be 1 g of the substance remaining.

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Use the table of data and exponential regression to predict the US population for 2003. Compare the result with the listed value for 2003. U. S. Population (in millions) YearPopulation 190076.2 191092.2 1920106.0 1930123.2 1940132.2 1950151.3 1960179.3 1970203.3 1980226.5 1990248.7 2000281.4 2003290.8

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Pg. 296 – 298, #’s: 1, 2, 8, 17, 22, 25, 32, 39, 44, 53, 54 Total Problems: 11

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Chapter 1.3 Exponential Functions. Exponential function F(x) = a x The domain of f(x) = a x is (-∞, ∞) The range of f(x) = a x is (0, ∞)

Chapter 1.3 Exponential Functions. Exponential function F(x) = a x The domain of f(x) = a x is (-∞, ∞) The range of f(x) = a x is (0, ∞)

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