Growth, Decay, Double Time, and Half Life

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What is the definition of exponential growth?

Back

Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth at an increasing rate over time.

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What is the definition of exponential decay?

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Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.

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What does the term 'double time' refer to in exponential growth?

Back

Double time is the period it takes for a quantity to double in size or amount, often used in the context of population growth or investments.

Front

What does the term 'half-life' refer to in exponential decay?

Back

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

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Back

The value 1.12 represents a growth rate of 12% per day for the bacteria population.

Front

How can you express the doubling of a cell population that starts with 4 cells after h hours?

Back

Front

What is the general form of an exponential growth function?

Back

Front

What is the general form of an exponential decay function?

Back

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Back

The value 0.50 indicates that half of the players are eliminated in each round of the tournament.

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The initial value is 245, representing the starting number of bacteria.