Exponential Growth and Decay

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What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a fixed percentage over a period of time, resulting in a rapid increase. Example: Population growth where the number doubles at regular intervals.

Tags

CCSS.HSF-LE.A.1A

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a fixed percentage over a period of time, leading to a rapid decrease. Example: Radioactive decay of a substance.

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CCSS.HSF-IF.C.8B

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What is Linear Growth?

Back

Linear Growth occurs when a quantity increases by a constant amount over equal intervals of time. Example: A car traveling at a constant speed.

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CCSS.8.F.A.3

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What is Linear Decay?

Back

Linear Decay occurs when a quantity decreases by a constant amount over equal intervals of time. Example: A bank account with a fixed monthly withdrawal.

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CCSS.HSF-LE.A.1B

Front

How can you identify Linear Growth on a graph?

Back

Linear Growth is represented by a straight line that slopes upwards.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you identify Linear Decay on a graph?

Back

Linear Decay is represented by a straight line that slopes downwards.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you identify Exponential Growth on a graph?

Back

Exponential Growth is represented by a curve that rises steeply as it moves to the right.

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify Exponential Decay on a graph?

Back

Exponential Decay is represented by a curve that falls steeply as it moves to the right.

Tags

CCSS.HSF-IF.C.7E

Front

What is the formula for Exponential Growth?

Back

The formula is: P(t) = P0 * e^(rt), where P0 is the initial amount, r is the growth rate, and t is time.

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What is the formula for Exponential Decay?

Back

The formula is: P(t) = P0 * e^(-rt), where P0 is the initial amount, r is the decay rate, and t is time.

Tags

CCSS.HSF-LE.A.1A