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What is Exponential Decay?

Back

Exponential decay is a decrease in a quantity that follows an exponential function, where the rate of decrease is proportional to the current value. For example, if a population decreases by a certain percentage each year, it is experiencing exponential decay.

Front

What is the common ratio in exponential decay?

Back

The common ratio in exponential decay is calculated as 1 minus the decay rate. For example, if the decay rate is 12%, the common ratio is 1 - 0.12 = 0.88.

Front

What does a starting point of a function represent?

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Front

How do you identify if data is Discrete or Continuous?

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Discrete data consists of distinct, separate values, often counted in whole numbers (e.g., number of frogs). Continuous data can take any value within a range (e.g., height, weight).

Front

What is the formula for exponential decay?

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Front

What is a decay rate?

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The decay rate is the percentage at which a quantity decreases over a specific period. For example, a decay rate of 12% means the quantity decreases by 12% each time period.

Front

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

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The base in an exponential function determines the rate of growth or decay. A base less than 1 indicates decay, while a base greater than 1 indicates growth.

Front

How do you calculate the amount remaining after exponential decay?

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Front

What is the difference between linear and exponential functions?

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Linear functions have a constant rate of change, represented by a straight line, while exponential functions have a variable rate of change, represented by a curve that increases or decreases rapidly.

Front

What is a graph of exponential decay?

Back

A graph of exponential decay shows a curve that starts at a certain value and decreases towards zero, never actually reaching it. It slopes downward as time increases.