Exponential Equations Graphs and Tables

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What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. For example, if a population doubles every year, it is experiencing exponential growth.

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What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. For example, radioactive substances decay exponentially over time.

Front

What is the general form of an exponential equation?

Back

Front

How do you identify Exponential Growth from a graph?

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In a graph, Exponential Growth is identified by a curve that rises steeply as 'x' increases, indicating that the value of 'y' increases rapidly.

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How do you identify Exponential Decay from a graph?

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In a graph, Exponential Decay is identified by a curve that falls steeply as 'x' increases, indicating that the value of 'y' decreases rapidly.

Front

What does the base 'b' represent in an exponential equation?

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The base 'b' in an exponential equation represents the growth or decay factor. If b > 1, it indicates growth; if 0 < b < 1, it indicates decay.

Front

What is the rate of decay in the model A=1200(0.85)^t?

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The rate of decay is 15%, which is calculated as 1 - 0.85 = 0.15 or 15%.

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How do you write an exponential equation from a given graph?

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To write an exponential equation from a graph, identify the initial value (y-intercept) and the growth/decay factor (base) by analyzing the curve's behavior.

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What is the difference between Linear Growth 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 growth over time.

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What is the difference between Linear Decay and Exponential Decay?

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Linear Decay decreases by a constant amount over equal intervals, while Exponential Decay decreases by a constant percentage, leading to faster decay over time.