Math 1 - 5.3 Exponential Growth and Decay

Front

What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a constant percentage over a period of time, leading to a rapid increase in value.

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a constant percentage over a period of time, leading to a rapid decrease in value.

Front

What is the formula for Exponential Growth?

Back

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

Front

What is the formula for Exponential Decay?

Back

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

Front

If the growth rate is 50%, what is the growth factor?

Back

1.5 (calculated as 1 + 0.5).

Front

If the decay rate is 30%, what is the decay factor?

Back

0.7 (calculated as 1 - 0.3).

Front

What does a decay factor of 0.5 indicate?

Back

It indicates that the quantity decreases to half of its previous value.

Front

What does a growth factor of 2 indicate?

Back

It indicates that the quantity doubles in value.

Front

How do you identify Exponential Growth from a graph?

Back

Exponential Growth is identified by a curve that rises steeply as it moves to the right.

Front

How do you identify Exponential Decay from a graph?

Back

Exponential Decay is identified by a curve that falls steeply as it moves to the right.