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.

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.

Front

What is the general formula for exponential growth?

Back

Front

What is the general formula for exponential decay?

Back

Front

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

Back

The growth factor is 2.

Front

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

Back

The decay factor is 0.5.

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).

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.