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 a table of values?

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In a table of values, Exponential Growth is identified when the ratio of consecutive values remains constant or increases, indicating that each value is a fixed percentage larger than the previous one.

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How can you identify Exponential Decay in a table of values?

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In a table of values, Exponential Decay is identified when the ratio of consecutive values remains constant or decreases, indicating that each value is a fixed percentage smaller than the previous one.

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What is the general form of an Exponential Growth equation?

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What is the general form of an Exponential Decay equation?

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

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In exponential equations, 'a' represents the initial amount or the 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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In exponential equations, '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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In exponential equations, 't' represents time, which is typically measured in consistent intervals.

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What is the difference between linear and exponential growth?

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Linear growth increases by a constant amount over equal intervals, while exponential growth increases by a constant percentage, leading to faster increases over time.