Exponential Growth and Decay Concepts

This video tutorial explains how to determine the initial value and growth or decay rate in exponential equations. It covers the concepts of exponential growth and decay, providing formulas to calculate growth and decay rates. The tutorial includes examples to illustrate these concepts, showing how to identify the initial value and calculate the growth or decay rate as a percentage. The video concludes with a summary of the key points discussed.

What is the general form of an exponential equation?

• y = a - bx

• y = a / b^x

• y = a * b^x

• y = a + bx

In an exponential growth equation, if the base b is greater than one, what does it indicate?

• Constant value

• Exponential growth

• Linear growth

• Exponential decay

How do you calculate the growth rate r in an exponential growth equation?

• r = 1 + b

• r = b + 1

• r = b - 1

• r = 1 - b

What is the initial value in an exponential equation?

• The value of a

• The value of x

• The value of b

• The value of y

In an exponential decay equation, if the base b is between zero and one, what does it indicate?

• Exponential growth

• Linear decay

• Exponential decay

• Constant value

How do you calculate the decay rate r in an exponential decay equation?

• r = b - 1

• r = 1 - b

• r = b + 1

• r = 1 + b

In the equation p = 2405 * 1.06^t, what is the initial value?

• 1.06

• 2405

• t

• p

In the equation p = 2405 * 1.06^t, what is the growth rate as a percentage?

• 4%

• 5%

• 6%

• 7%

In the equation d = 0.91^t, what is the initial value?

• 0.91

• d

• t

• 1

In the equation d = 0.91^t, what is the decay rate as a percentage?

• 10%

• 11%

• 9%

• 8%