1.3 Exponential Functions Day 2

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1.3 Exponential Functions Day 2 Date Calculus AB Ms. Brewer

Example 1: Estimate the population for 1990 Example 1: Estimate the population for 1990. Compare your answer to the real value of 248.7 million Year Population (millions) 1880 50.2 1890 63.0 1900 76.0 1920 106.0 1930 123.2 1940 132.1 1950 151.3 1960 179.3 1970 203.3 1980 226.5 1990 ????

Example 2: What is the annual rate of growth from the previous example?

e Euler “discovered” e Comes from a familiar looking equation: x y 1000 2.7169 2000 2.7176 3000 2.7178 4000 2.7179 5000 2.718 6000 2.7181 7000 Compounded Continuously: “e” is used in place of “1+r”

Assignment Pg. 27 23-35 odd