Exponential Growth and Decay

Front

What is 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. Example: Population growth under ideal conditions.

Front

What is Exponential Decay?

Back

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. Example: Radioactive decay of a substance.

Front

Define the formula for Exponential Growth.

Back

Front

Define the formula for Exponential Decay.

Back

Front

What is the y-intercept of an exponential function?

Back

The y-intercept is the value of the function when x=0, which is equal to the initial amount 'a' in the formula.

Front

How do you calculate depreciation?

Back

Front

What is a common example of Exponential Growth in real life?

Back

A common example is compound interest in finance, where the amount of interest earned grows exponentially over time.

Front

What is a common example of Exponential Decay in real life?

Back

A common example is the decay of a radioactive substance, where the quantity decreases exponentially over time.

Front

What does a negative growth rate indicate?

Back

A negative growth rate indicates a decrease in quantity, characteristic of exponential decay.

Front

What is the difference between linear and exponential functions?

Back

Linear functions increase or decrease by a constant amount, while exponential functions increase or decrease by a constant percentage.