Exponential Growth and Decay Problems

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over a period of time, leading to rapid increases as the base amount grows.

Tags

CCSS.HSF-LE.A.1A

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a fixed percentage over a period of time, leading to rapid decreases as the base amount shrinks.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general formula for exponential growth?

Back

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CCSS.HSF-IF.C.8B

Front

What is the general formula for exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B

Front

If a quantity doubles every year, what is the growth factor?

Back

The growth factor is 2.

Tags

CCSS.HSF-LE.A.1C

Front

If a quantity decreases by 50% each year, what is the decay factor?

Back

The decay factor is 0.5.

Tags

CCSS.HSF-LE.A.1C

Front

How do you calculate the value of an item after a certain number of years with exponential decay?

Back

Front

How do you calculate the future value of an investment with exponential growth?

Back

Front

What does a 20% increase in sales mean?

Back

It means that the sales amount is multiplied by 1.2 (or increased by 20% of the original amount).

Tags

CCSS.7.EE.A.1

Front

What is the significance of the base in exponential functions?

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Tags

CCSS.HSF-IF.C.8B