Exponential Growth and Decay

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

If a population decreases by 6% per year, what type of change is this?

Back

This is an example of exponential decay.

Front

What does 'semi-annually' mean?

Back

Semi-annually means occurring twice a year.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100.

Front

Convert 11.2% to a decimal.

Back

0.112

Front

What is the formula for exponential decay?

Back

The formula is A = P(1 - r)^t, where A is the final amount, P is the initial amount, r is the rate of decay, and t is time.

Front

What is the formula for exponential growth?

Back

The formula is A = P(1 + r)^t, where A is the final amount, P is the initial amount, r is the rate of growth, and t is time.

Front

If a population of fish starts at 8,000 and decreases by 6% per year, what is the population after 10 years?

Back

The population after 10 years is approximately 4,309.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.