Exponential Growth and Decay

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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.

Tags

CCSS.HSF-IF.C.8B

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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.

Tags

CCSS.HSF-IF.C.8B

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What is the formula for Exponential Growth?

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The formula is f(x) = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.

Tags

CCSS.HSF-IF.C.8B

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What is the formula for Exponential Decay?

Back

The formula is f(x) = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is time.

Tags

CCSS.HSF-IF.C.8B

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What does the initial value represent in an exponential function?

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The initial value represents the starting amount before any growth or decay occurs.

Tags

CCSS.HSF.LE.B.5

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How can you identify Exponential Growth from a table of values?

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In Exponential Growth, the values increase rapidly and the ratio of consecutive values remains constant.

Tags

CCSS.HSF-LE.A.1A

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

Back

In Exponential Decay, the values decrease rapidly and the ratio of consecutive values remains constant.

Tags

CCSS.HSF-LE.A.1A

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What is a common example of Exponential Growth in real life?

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A common example is population growth, where the population increases at a rate proportional to its current size.

Tags

CCSS.HSF-LE.A.1A

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What is a common example of Exponential Decay in real life?

Back

A common example is radioactive decay, where the quantity of a radioactive substance decreases over time.

Tags

CCSS.HSF-IF.C.8B

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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, while Exponential Growth increases by a constant percentage.