Exploring Exponential Growth and Decay Concepts

Justin discusses a contract dilemma involving two payment options for an acting gig. He uses this scenario to introduce a unit on exponential growth and decay in algebra. The video covers the differences between linear and exponential functions, their real-world applications, and analyzes the contract options mathematically. Justin concludes by reflecting on the surprising results of exponential growth.

What are the two payment options offered to Justin for his movie role?

• $2,000 per scene or $2 for the first scene, doubling thereafter

• $1,000 per scene or $2 for the first scene, doubling thereafter

• $1,500 per scene or $3 for the first scene, doubling thereafter

• $500 per scene or $5 for the first scene, doubling thereafter

Why was Justin initially skeptical about the second contract option?

• It started with only $2 for the first scene

• It required too many scenes

• It offered less creative freedom

• It was based in another country

What mathematical concept will help Justin decide between his contract options?

• Trigonometry

• Quadratic equations

• Exponential growth and decay

• Linear functions

Which of the following is NOT a real-world application of exponential functions mentioned?

• Mold growth on food

• Money gaining interest over time

• Population growth

• Car speed acceleration

What is the rate of change in an exponential function?

• Decreasing only

• Constant

• Constantly increasing or decreasing

• Increasing only

What does exponential decay model in real life?

• Height of a growing tree

• Distance traveled by light in a year

• Speed of a racing car

• Value depreciation of assets

How is the first movie contract option mathematically represented?

• f(x) = 2^x

• f(x) = x^2

• f(x) = 1000x

• f(x) = 500x

How much would Justin earn for the 30th scene alone with the second contract option?

• $1,000

• Over a billion dollars

• $30,000

• $60,000

Which function type represents Justin's first contract option?

• Logarithmic function

• Linear function

• Exponential function

• Quadratic function

What surprising condition was included in Justin's movie contract?

• He must relocate to another country

• He must shave his head

• He must gain 30 pounds

• He must learn to ride a horse