Analyzing exponential word problems

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What is an exponential growth model?

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Front

What is an exponential decay model?

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Front

How do you identify the initial value in an exponential model?

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Front

What does the variable 'r' represent in exponential models?

Back

Front

How do you convert a percentage growth rate to a decimal?

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Front

What is the formula for calculating the height of a structure after multiple exponential decays?

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Front

How do you model the growth of a plant that grows by a percentage each hour?

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Front

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

Back

The base in an exponential function indicates the growth or decay factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

How can you determine the number of periods in an exponential model?

Back

The number of periods can be determined by the variable 't' in the equations, which represents the time intervals over which growth or decay occurs.

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What is the relationship between exponential functions and real-world applications?

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Exponential functions model various real-world phenomena, such as population growth, radioactive decay, and compound interest, where quantities change at rates proportional to their current values.