Growth, Decay, Double Time, and Half Life

Front

What is the definition of exponential growth?

Back

Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth at an increasing rate over time.

Front

What is the definition of exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, leading to a decrease that slows over time.

Front

What is the formula for exponential growth?

Back

Front

What is the formula for exponential decay?

Back

Front

What does 'double time' refer to in exponential growth?

Back

Double time is the period it takes for a quantity to double in size during exponential growth.

Front

What does 'half-life' refer to in exponential decay?

Back

Half-life is the time required for a quantity to reduce to half its initial value during exponential decay.

Front

If a population of bacteria doubles every hour, what is the growth function?

Back

Front

How do you determine the number of players remaining in a tournament where half are eliminated each round?

Back

Front

What is the interpretation of the coefficient in an exponential growth function?

Back

The coefficient represents the initial quantity before any growth occurs.

Front

What is the interpretation of the base in an exponential growth function?

Back

The base indicates the growth factor; for example, a base of 1.12 means a 12% increase.