Analyzing exponential word problems

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

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What does a growth rate of 4% per year mean in an exponential model?

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How do you interpret a decay rate of 3.5% in an exponential model?

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What is the formula for exponential decay?

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How can you find the original amount in an exponential growth problem?

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What does it mean if a model shows a percentage increase?

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A percentage increase in a model indicates that the quantity is growing by that percentage of its current value over time.

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

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The exponent in an exponential function indicates the number of time periods that have passed, affecting the growth or decay of the quantity.

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How do you model a situation where something decreases by a fixed percentage?

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