Exploring Exponential Functions in Writing

This video tutorial covers writing exponential functions, focusing on both growth and decay. It explains the components needed, such as the initial amount and growth or decay factor, and provides examples of calculating population growth and value depreciation. The tutorial also includes a practice problem involving bacteria growth and concludes with practice assignments and a reminder about the unit test.

What does 'a' represent in an exponential function?

• The growth or decay factor

• The initial amount

• The time variable

• The rate of change

Tags

CCSS.HSF-IF.C.8B

How do you calculate the growth factor 'b' for exponential growth?

• The initial amount times the rate of change

• 1 minus the rate of change

• 1 plus the rate of change

• The initial amount plus the rate of change

Tags

CCSS.HSF-IF.C.8B

What was the population of Johnson City in 2005?

• 34,256

• 45,000

• 20,000

• 25,000

What is the predicted population of Johnson City in 2015?

• 20,000

• 34,256

• 45,000

• 25,000

What does a decay factor less than 1 indicate in an exponential function?

• A mistake in calculation

• Exponential growth

• No change over time

• Exponential decay

Tags

CCSS.HSF-IF.C.8B

What was the original price of the tractor?

• $25,000

• $45,000

• $34,256

• $20,000

Tags

CCSS.6.EE.B.7

What is the value of the tractor after 5 years?

• $34,256

• $23,748

• $20,000

• $45,000

If a culture triples every hour, what is the growth factor?

• 2

• 3

• 1.5

• 4

Tags

CCSS.HSF-LE.A.1A

What is the initial amount of bacteria in the culture?

• 50

• 20

• 30

• 40

Tags

CCSS.HSF-LE.A.1A

What does 'b' represent when it is greater than 1 in an exponential function?

• Exponential decay

• No change over time

• A mistake in calculation

• Exponential growth

Tags

CCSS.HSF-IF.C.8B