Exponential Growth & 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 time progresses.

Tags

CCSS.HSF-IF.C.8B

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a consistent percentage over time, leading to rapid decreases as time progresses.

Tags

CCSS.HSF-IF.C.8B

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.

Tags

CCSS.HSF-LE.A.1A

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.

Tags

CCSS.HSF-LE.A.1A

Front

How do you calculate the growth factor?

Back

The growth factor is calculated as 1 + r, where r is the growth rate expressed as a decimal.

Tags

CCSS.HSF-IF.C.8B

Front

How do you calculate the decay factor?

Back

The decay factor is calculated as 1 - r, where r is the decay rate expressed as a decimal.

Tags

CCSS.HSF-IF.C.8B

Front

If a quantity increases by 60% each year, what is the growth factor?

Back

The growth factor is 1.6.

Tags

CCSS.HSF-LE.A.1C

Front

If a quantity decreases by 20% each year, what is the decay factor?

Back

The decay factor is 0.8.

Tags

CCSS.HSF-LE.A.1C

Front

What does the graph of Exponential Growth look like?

Back

The graph of Exponential Growth rises steeply and curves upwards as time increases.

Tags

CCSS.HSF-IF.C.7E

Front

What does the graph of Exponential Decay look like?

Back

The graph of Exponential Decay falls steeply and approaches zero as time increases.

Tags

CCSS.HSF-IF.C.7E