Exponential Growth/Decay

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What is Exponential Growth?

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Exponential Growth is a process where the quantity increases at a rate proportional to its current value, resulting in a rapid increase over time. Example: Population growth.

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What is Exponential Decay?

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Exponential Decay is a process where the quantity decreases at a rate proportional to its current value, leading to a rapid decrease over time. Example: Radioactive decay.

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What is Linear Growth?

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Linear Growth is a process where a quantity increases by a constant amount over equal intervals of time, resulting in a straight line when graphed. Example: A fixed salary increase.

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What is Linear Decay?

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Linear Decay is a process where a quantity decreases by a constant amount over equal intervals of time, resulting in a straight line going down when graphed. Example: Depreciation of a car's value.

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How can you identify Exponential Growth on a graph?

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Exponential Growth is identified by a smooth curve that rises steeply upwards as time progresses.

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How can you identify Exponential Decay on a graph?

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Exponential Decay is identified by a smooth curve that falls steeply downwards as time progresses.

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How can you identify Linear Growth on a graph?

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Linear Growth is identified by a straight line that slopes upwards as time progresses.

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How can you identify Linear Decay on a graph?

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Linear Decay is identified by a straight line that slopes downwards as time progresses.

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What is the formula for Exponential Growth?

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The formula is: N(t) = N0 * e^(rt), where N0 is the initial amount, r is the growth rate, and t is time.

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What is the formula for Exponential Decay?

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The formula is: N(t) = N0 * e^(-rt), where N0 is the initial amount, r is the decay rate, and t is time.