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 rapid increases as the base amount grows.

Front

What is Exponential Decay?

Back

Exponential Decay is the process by which a quantity decreases at a consistent percentage rate over time, resulting in a rapid decrease as the amount diminishes.

Front

Define the Decay Factor.

Back

The Decay Factor is the multiplier used to calculate the remaining quantity after a decay process, expressed as (1 - decay rate). For example, a 20% decay rate has a decay factor of 0.8.

Front

What is the formula for Exponential Decay?

Back

Front

What is the formula for Exponential Growth?

Back

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 does a decay rate of 20% imply for the decay factor?

Back

A decay rate of 20% implies a decay factor of 0.8, meaning 80% of the quantity remains after each time period.

Front

Back

The initial amount in the equation is 300, representing the starting quantity before any decay occurs.

Front

How do you determine the amount remaining after a certain time in an exponential decay scenario?

Back

To determine the amount remaining, substitute the time into the decay equation and solve for 'y'.