Exponential Growth and Decay Exit Ticket

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, represented by the equation y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.

Tags

CCSS.HSF-LE.A.1A

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, represented by the equation y = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is time.

Tags

CCSS.HSF-IF.C.8B

Front

Back

Growth

Front

Back

Decay

Tags

CCSS.HSF-IF.C.8B

Front

What does the variable 'a' represent in the equation y = a(1 + r)^x?

Back

Initial Amount

Tags

CCSS.HSF-IF.C.8B

Front

What does the variable 'r' represent in the equation y = a(1 + r)^x?

Back

Rate of growth.

Tags

CCSS.HSF-IF.C.8B

Front

What does the variable 'x' represent in the equations of exponential functions?

Back

Time.

Front

How can you determine if a function is growth or decay from its equation?

Back

If the base of the exponent is greater than 1, it is growth; if the base is between 0 and 1, it is decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential growth equation?

Back

y = a(1 + r)^x.

Front

What is the general form of an exponential decay equation?

Back

y = a(1 - r)^x.

Tags

CCSS.HSF-IF.C.8B