Exponential Models

Front

What is an exponential function?

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Front

What does the base in an exponential function represent?

Back

The base in an exponential function represents the growth (if greater than 1) or decay (if between 0 and 1) factor of the function.

Front

How do you calculate the future value in an exponential growth model?

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Front

What is the formula for exponential decay?

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Front

What is a half-life in the context of exponential decay?

Back

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

Front

If a population of fish decreases by 6% each year, what is the decay factor?

Back

Front

Back

This expression models a population that starts at 12 and increases by 1.5% each year.

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Back

Front

How do you determine the time it takes for a substance to decay to a certain amount?

Back

Front

What does a growth rate of 35% per year mean in an exponential model?

Back

It means that the quantity increases by 35% of its current value each year.