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Exponential Growth and Decay. Linear GrowthExponential Growth Page 5.

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Presentation on theme: "Exponential Growth and Decay. Linear GrowthExponential Growth Page 5."— Presentation transcript:

1 Exponential Growth and Decay

2 Linear GrowthExponential Growth Page 5

3 Page 6

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5 Page 8

6 Annual Growth vs. Continuous Growth: Annual Growth: The +/- means you either add or subtract the rate depending upon the problem. Are you earning money or losing money? Page 11

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8 Here are the answers to the last two questions: This equation was an increasing problem. Notice that the number in the ( ) is greater than one! This equation was a decreasing problem. Notice that the number in the ( ) is less than one! Keep this in mind when doing annual growth problems! Page 11

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13 Before we do continuous growth, we need to look at the natural number “e”. This is very similar to the other exponential functions. “e” is called the natural number and is used to do continuous growth!

14 Annual Growth vs. Continuous Growth: Continuous Growth: When we write the rate, we still need to change it to a decimal. If it is an increasing problem, we write the rate as a positive number. If it is a decreasing problem, then you write the rate as a negative number Since this is an increasing problem, the rate is written as a positive. Page 11

15 Since this is a decreasing problem, the rate is written as a negative.

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