Exponential Growth and Decay

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What is Exponential Growth?

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What is Exponential Decay?

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How can you identify Exponential Growth in an equation?

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How can you identify Exponential Decay in an equation?

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What is the difference between Linear and Exponential growth?

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Linear growth increases by a constant amount, while Exponential growth increases by a constant percentage. For example, in linear growth, you might add 5 each time, while in exponential growth, you might multiply by 2.

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What does the variable 'a' represent in exponential equations?

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'a' represents the initial amount or starting value before any growth or decay occurs.

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What does the variable 'r' represent in exponential equations?

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'r' represents the rate of growth or decay expressed as a decimal.

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What does the variable 't' represent in exponential equations?

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't' represents the time period over which growth or decay occurs.

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If a population of bacteria doubles every hour, what type of growth is this?

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This is an example of Exponential Growth.

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If a radioactive substance decreases by half every 5 years, what type of decay is this?

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This is an example of Exponential Decay.