Exponential Growth and Decay

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What is Exponential Growth?

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What is Exponential Decay?

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How do you calculate the population after a certain time with exponential decay?

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How do you calculate the population after a certain time with exponential growth?

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

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'r' represents the rate of growth or decay in exponential functions. It is expressed as a decimal (e.g., 5% growth is represented as 0.05).

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If a population of 1500 deer decreases by 1.5% per year, what is the function to model this?

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If a population of fish starts at 8000 and increases by 6% per year, what is the function to model this?

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What is the formula for calculating the future value of an investment with exponential growth?

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What is the difference between linear growth and exponential growth?

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Linear growth increases by a constant amount over time, while exponential growth increases by a percentage of the current value, leading to faster growth as the quantity increases.

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How do you convert a percentage rate to a decimal for use in exponential functions?

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To convert a percentage rate to a decimal, divide the percentage by 100. For example, 5% becomes 0.05.