Understanding Exponential Growth, Decay, and Compound Interest

What indicates an exponential function is experiencing growth?

• B value is less than 0

• B value is greater than 1

• B value is between 0 and 1

• Negative 'a' value

Tags

CCSS.HSF-IF.C.8B

What does a B value between 0 and 1 signify in an exponential function?

• No change

• Oscillation

• Rapid growth

• Decay

Tags

CCSS.HSF-IF.C.8B

How does a negative 'a' value affect the classification of an exponential function?

• It indicates decay

• It indicates growth

• It means the function is neither growth nor decay

• It does not affect the classification

Tags

CCSS.HSF-IF.C.7E

In the presence of a negative multiplier in front of x, how should you classify the function?

• Always as growth

• Always as decay

• The opposite of what it appears

• As neither growth nor decay

Tags

CCSS.HSF-IF.C.8B

If an exponential function's equation has a B term of 4 and a negative 'a' value, how is it classified?

• Cannot be determined

• Neither growth nor decay

• Decay

• Growth

Tags

CCSS.HSF-IF.C.8B

What does the variable 'y' represent in the exponential growth formula?

• The time period

• The final amount

• The rate of change

• The initial amount

Tags

CCSS.HSF-IF.C.8B

How do you convert a percentage rate to a decimal for the formula?

Select all that apply

• Divide by 100

• Multiply by 100

• Move the decimal two places to the right

• Move the decimal two places to the left

What is the formula for exponential decay?

• y = a/r^t

• y = a + rt

• y = a(1 - r)^t

• y = a(1 + r)^t

Tags

CCSS.HSF-LE.A.1A

What is the key difference between exponential growth and decay formulas?

• The sign between 1 and the rate

• The calculation method

• The variables used

• The application context

Tags

CCSS.HSF-IF.C.8B

In the context of depreciation, what does the rate 'r' represent?

• Decrease in value per year

• Initial value of the item

• Final value of the item

• Increase in value per year