Exponential Functions Review

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What is an exponential function?

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Front

What does it mean for a quantity to grow exponentially?

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Exponential growth occurs when a quantity increases by a fixed percentage over a consistent time period, leading to rapid increases as time progresses.

Front

What is the formula for calculating the future value of an investment with compound interest?

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Front

How do you calculate depreciation using an exponential model?

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Front

What is the initial value in an exponential function?

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Front

How do you express a percentage increase as a decimal for exponential growth?

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To express a percentage increase as a decimal, divide the percentage by 100. For example, a 14% increase is expressed as 0.14.

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What is the value of a car that depreciates at 15% per year after 7 years if it started at $50,000?

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Using the formula for depreciation, the value after 7 years is approximately $16,028.85.

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Write the equation for exponential growth of Samantha's hair that starts at 6 inches and grows at 14% per week.

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What is the ending balance of an account after one year if $1200 is deposited at 3% interest compounded monthly?

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The ending balance after one year is approximately $1,236.50.

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How do you calculate the remaining amount of a radioactive substance after a certain time?

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