Exploring Exponential Growth and Decay in Algebra

The video tutorial covers exponential growth and decay, starting with a warm-up on car depreciation. It explains exponential functions, graphing, and asymptotes. The compound interest formula is introduced, followed by practical examples, including population growth and financial applications.

What function type models the car's depreciating value?

• Quadratic function

• Exponential function

• Logarithmic function

• Linear function

What is the initial value of the car according to the depreciation example?

• $10,000

• $9,520

• $8,480

• $7,520

What does the graph of an exponential growth function look like?

• A straight line

• A downward curve

• An upward curve

• A horizontal line

Tags

CCSS.HSF-IF.C.7E

What is the base of the exponential function y = 5 * 2^x?

• 5

• 2

• x

• 10

Tags

CCSS.HSF-IF.C.8B

What represents exponential decay in the given examples?

• y = 4 * (1 - 0.5)^x

• y = 4 * 2^x

• y = 4 * (1 + 0.5)^x

• y = 4 * 0.5^x

Tags

CCSS.HSF-IF.C.8B

What is the principle amount in the compound interest formula?

• The final amount

• The number of times interest is compounded

• The interest rate

• The initial amount

How is the population of pikas changing each year?

• Staying the same

• Increasing by 15%

• Decreasing by 8%

• Increasing by 8%

Tags

CCSS.HSF-LE.A.1C

What does the 'r' represent in the compound interest formula?

• The number of times interest is compounded

• The interest rate

• The final amount

• The principal amount

After how many years will the cost and value of the car be the same?

• About 15 years

• About 9 years

• About 5 years

• About 12 years

Tags

CCSS.8.EE.C.8C

What is the estimated population of Hillville after 5 years?

• About 8,000 people

• About 12,000 people

• About 10,056 people

• About 15,000 people