Exponential Growth and Decay Flashcard

Front

What is exponential growth?

Back

Exponential growth occurs when the increase of a quantity is proportional to its current value, leading to growth at an increasing rate over time.

Front

What is exponential decay?

Back

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.

Front

How do you express a percentage decrease as a decimal?

Back

To express a percentage decrease as a decimal, divide the percentage by 100. For example, a 6.5% decrease is expressed as 0.065.

Front

What is the formula for exponential growth?

Back

Front

What is the formula for exponential decay?

Back

Front

How do you find the growth rate from a percentage?

Back

To find the growth rate from a percentage, convert the percentage to a decimal. For example, a 2.5% growth rate is 0.025.

Front

What does the variable 't' represent in exponential functions?

Back

In exponential functions, 't' typically represents time.

Front

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

Back

The base in an exponential function indicates the growth or decay factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

How do you write an exponential function for a depreciating asset?

Back

Front

What is the relationship between the initial amount and the final amount in exponential growth?

Back

In exponential growth, the final amount increases over time based on the initial amount and the growth rate.