Exponential Growth and Decay

Front

What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, leading to growth that accelerates over time.

Front

What is Exponential Decay?

Back

Exponential Decay is the process by which a quantity decreases by a consistent percentage over time, resulting in a rapid decrease initially that slows down over time.

Front

Define the formula for Exponential Growth.

Back

Front

Define the formula for Exponential Decay.

Back

Front

What is the difference between Linear Growth and Exponential Growth?

Back

Linear Growth increases by a constant amount, while Exponential Growth increases by a constant percentage, leading to faster growth over time.

Front

What is the decay rate of Penicillin in the human body?

Back

Penicillin decays at a rate of 40% per day, meaning 60% remains after one day.

Front

If a population of fish decreases by 6% per year, what is the decay factor?

Back

The decay factor is 0.94, calculated as 1 - 0.06.

Front

How do you calculate the remaining amount after exponential decay?

Back

Front

What is the future value of an investment with compound interest?

Back

Front

What is the initial dose of flea medicine if it decays at 20% per hour?

Back

The initial dose is 60 milligrams.