Growth and Decay

Front

What is exponential decay?

Back

Exponential decay is a decrease in a quantity that follows an exponential function, typically represented as y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential decay equation?

Back

The general form is y = a(1 - r)^t or y = ae^(-kt), where 'a' is the initial value, 'r' is the decay rate, and 'k' is a positive constant.

Tags

CCSS.HSF-IF.C.8B

Front

Identify the equation that represents exponential decay: y=2000(0.88) or y=0.5(1.88)

Back

y=2000(0.88) represents exponential decay.

Front

What is the starting term (a) in the function: f(x) = 300(1.16)^x?

Back

The starting term (a) is 300.

Tags

CCSS.HSF.LE.B.5

Front

Is the function f(x) = 300(1.16)^x exponential growth or decay?

Back

It is exponential growth.

Tags

CCSS.HSF-IF.C.8B

Front

What is the decay rate in the equation y = 2000(0.88)?

Back

The decay rate is 0.12 (or 12%).

Tags

CCSS.HSF-IF.C.8B

Front

What does the term 'exponential growth' mean?

Back

Exponential growth refers to an increase in a quantity that follows an exponential function, typically represented as y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Tags

CCSS.HSF-IF.C.8B

Front

Identify the equation that represents exponential growth: y=2000(1.12) or y=0.5(0.88)

Back

y=2000(1.12) represents exponential growth.

Tags

CCSS.HSF-IF.C.8B

Front

What is the difference between exponential growth and decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the value of 'r' in the equation y = 500(1 - 0.2)^t?

Back

The value of 'r' is 0.2 (or 20%).

Tags

CCSS.HSF-IF.C.8B