Exponential Growth and Decay

Front

What is exponential growth?

Back

Tags

CCSS.HSF-LE.A.1A

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What is exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B

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What is the decay factor if the decay rate is 20%?

Back

The decay factor is calculated as: 1 - decay rate. For a 20% decay rate, the decay factor is: 1 - 0.20 = 0.80.

Tags

CCSS.HSF-IF.C.8B

Front

How do you identify exponential decay from an equation?

Back

Tags

CCSS.HSF-IF.C.8B

Front

If the growth rate is 80%, what is the growth factor?

Back

The growth factor is calculated as: 1 + growth rate. For an 80% growth rate, the growth factor is: 1 + 0.80 = 1.80.

Tags

CCSS.HSF-IF.C.8B

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Back

This equation models the amount of penicillin remaining in the body over time, where 300 mg is the initial dose and 0.6 is the decay factor representing the remaining amount after each time period.

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Back

The initial amount is 60 mg, which represents the starting dose of the flea medicine before any decay occurs.

Tags

CCSS.HSF.LE.B.5

Front

How do you calculate the remaining amount after one time period in exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the significance of the base in an exponential function?

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The base determines the rate of growth or decay. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the relationship between growth rate and decay rate?

Back

The growth rate and decay rate are complementary; a growth rate of 'r' corresponds to a decay rate of '1 - r'.

Tags

CCSS.HSF-IF.C.8B