Population Dynamics and Exponential Functions

This video tutorial covers solving exponential growth and decay problems using real-world examples. It begins with prerequisites and emphasizes the importance of attempting problems before watching. The tutorial includes problems on world population growth, computer depreciation, animal population decline, and cell decay in a biology experiment. Each problem is solved using exponential equations and logarithms, with a focus on setting up equations and understanding the base value. The video concludes with tips on using calculators for logarithmic calculations.

What should you do before watching the video?

• Watch another video

• Download and attempt the problems

• Read a textbook

• Skip the video

What was the world population in 2000?

• 7.08 billion

• 6.08 billion

• 5.08 billion

• 8.08 billion

What is the annual growth rate of the world population?

• 2.26%

• 1.26%

• 0.26%

• 3.26%

What is the base value (B) for the world population growth equation?

• 1.136

• 1.026

• 1.126

• 1.0126

How do you calculate the time for the population to reach 8 billion?

• Using a linear equation

• Using an exponential equation and logs

• Using a quadratic equation

• By guessing

What is the initial population for the tripling problem?

• 6.08 billion

• 8 billion

• 10 billion

• 12 billion

What is the depreciation rate of the computer?

• 15.5%

• 18.5%

• 20.5%

• 10.5%

What is the base value (B) for the computer depreciation equation?

• 0.615

• 0.715

• 0.915

• 0.815

How do you determine when the computer's value drops below $1,000?

• By checking the market

• Using an exponential equation and logs

• Using a linear equation

• By asking a friend

What is the setup to find when the computer can be sold for $2,000?

• 2000 = 3000 * 0.915^x

• 2000 = 300 * 0.915^x

• 2000 = 3000 * 0.815^x

• 2000 = 300 * 0.815^x