Exponential growth and decay1

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What is exponential growth?

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CCSS.HSF-IF.C.8B

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What is exponential decay?

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Tags

CCSS.HSF-IF.C.8B

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What does the term 'initial value' mean in exponential functions?

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The initial value is the starting amount before any growth or decay occurs, represented by 'a' in the formulas for exponential growth and decay.

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CCSS.HSF-IF.C.8B

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How do you identify exponential growth from a function?

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Tags

CCSS.HSF-IF.C.8B

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How do you identify exponential decay from a function?

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Tags

CCSS.HSF-IF.C.8B

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The growth rate is 15% per day, as indicated by the term (1 + 0.15) in the function.

Tags

CCSS.HSF-IF.C.8B

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The decay rate is 18% per year, as indicated by the term (1 - 0.18) in the function.

Tags

CCSS.HSF-IF.C.8B

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How do you convert a percentage decay rate to a decimal for use in an exponential decay function?

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To convert a percentage decay rate to a decimal, divide the percentage by 100. For example, 20% becomes 0.20.

Tags

CCSS.HSF-IF.C.8B

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What is the formula for calculating the remaining amount after exponential decay?

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This equation represents the amount of flea medicine left after x hours, starting with an initial dose of 60 mg and decaying at a rate of 20% per hour.

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CCSS.HSF.LE.B.5