Exponential Models

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What is an exponential function?

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What does the base in an exponential function represent?

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The base in an exponential function represents the growth (if greater than 1) or decay (if between 0 and 1) factor of the function.

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CCSS.HSF-IF.C.8B

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How do you calculate the future value in an exponential growth model?

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CCSS.HSF-IF.C.8B

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What is the formula for exponential decay?

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CCSS.HSF-LE.A.1A

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What is a half-life in the context of exponential decay?

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Half-life is the time required for a quantity to reduce to half its initial value, commonly used in radioactive decay.

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If a population of fish decreases by 6% each year, what is the decay factor?

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CCSS.HSF-LE.A.1C

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This expression models a population that starts at 12 and increases by 1.5% each year.

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CCSS.HSF.BF.A.2

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CCSS.HSF-IF.C.7E

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How do you determine the time it takes for a substance to decay to a certain amount?

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CCSS.HSF.LE.A.4

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What does a growth rate of 35% per year mean in an exponential model?

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It means that the quantity increases by 35% of its current value each year.

Tags

CCSS.HSF-IF.C.8B