Exponential Growth and Decay

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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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CCSS.HSF-IF.C.8B

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How do you identify Exponential Growth or Decay from an equation?

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If the base of the exponent (b) is greater than 1, it represents Exponential Growth. If b is between 0 and 1, it represents Exponential Decay.

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CCSS.HSF-IF.C.8B

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The 'a' value represents the initial amount or the y-intercept of the function.

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CCSS.HSF.LE.B.5

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The 'b' value represents the growth (if b > 1) or decay (if 0 < b < 1) factor.

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CCSS.HSF-IF.C.8B

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Write the equation for a population that starts at 200 and grows by 50% each year.

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CCSS.HSF.LE.A.2

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Write the equation for a substance that decays from 1000 grams by 20% each year.

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CCSS.HSF.LE.A.2

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The y-intercept is 3.

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CCSS.HSF-IF.C.7E

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If a bacteria culture starts with 800 cells and doubles every hour, what is the equation?

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Tags

CCSS.HSF.LE.A.2

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How do you determine the decay rate from an equation?

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Tags

CCSS.HSF-IF.C.8B