Exponential Growth and Decay Exit Ticket

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What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, represented by the equation y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, represented by the equation y = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is time.

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Back

Growth

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Decay

Front

What does the variable 'a' represent in the equation y = a(1 + r)^x?

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Initial Amount

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What does the variable 'r' represent in the equation y = a(1 + r)^x?

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Rate of growth.

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What does the variable 'x' represent in the equations of exponential functions?

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Time.

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How can you determine if a function is growth or decay from its equation?

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If the base of the exponent is greater than 1, it is growth; if the base is between 0 and 1, it is decay.

Front

What is the general form of an exponential growth equation?

Back

y = a(1 + r)^x.

Front

What is the general form of an exponential decay equation?

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y = a(1 - r)^x.