Exponential Growth and Decay

Front

What is Exponential Growth?

Back

Front

What is Exponential Decay?

Back

Front

How do you convert a percentage to a decimal for calculations?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 5% becomes 0.05.

Front

What is the formula for calculating the value of an asset after depreciation?

Back

Front

If an investment grows at a rate of 8% per year, what is the value of 'r' in the exponential growth formula?

Back

In the exponential growth formula, 'r' is expressed as a decimal. For an 8% growth rate, 'r' = 0.08.

Front

What is the difference between growth and decay in exponential functions?

Back

In exponential growth, the quantity increases over time, while in exponential decay, the quantity decreases over time. The growth function uses (1 + r) and the decay function uses (1 - r).

Front

How do you model a population that decreases by 10% each year?

Back

Front

What is the significance of the base in exponential functions?

Back

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

Front

How do you find the value of an asset after a certain number of years with a given depreciation rate?

Back

Front

What is the formula for continuous growth?

Back