Exponential Growth/Decay

Front

What is Exponential Growth?

Back

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.

Tags

CCSS.HSF-LE.A.1A

Front

What is Exponential Decay?

Back

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.

Tags

CCSS.HSF-IF.C.8B

Front

What is Linear Growth?

Back

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?

Back

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.

Tags

CCSS.HSF-LE.A.1B

Front

How can you identify Exponential Growth on a graph?

Back

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

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify Exponential Decay on a graph?

Back

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

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify Linear Growth on a graph?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you identify Linear Decay on a graph?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the formula for Exponential Growth?

Back

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

Front

What is the formula for Exponential Decay?

Back

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

Tags

CCSS.HSF-LE.A.1A