Exploring Exponential Growth and Decay with Percents

The video tutorial covers exponential growth and decay, focusing on formulas and their application in real-world contexts. It explains the difference between growth and decay formulas, emphasizing the role of the plus and minus signs. The tutorial includes four problems: calculating savings account growth, California's population increase, forest acreage decrease, and purchase depreciation. Each problem demonstrates the application of exponential formulas, highlighting the importance of context in determining growth or decay.

What is the primary difference between the formulas for exponential growth and decay?

• The presence of a plus or minus sign

• The initial amount

• The rate of growth or decay

• The time in years

How do you convert a percentage to a decimal for use in these formulas?

• Divide by 100

• Move the decimal place two places to the right

• Multiply by 100

• Move the decimal place two places to the left

What was the initial investment amount in Sallie Mae's ancestor's account?

• $500

• $400

• $300

• $200

After how many years was the account balance calculated from 1800?

• 100 years

• 150 years

• 200 years

• 250 years

What was the annual interest rate for the savings account?

• 5%

• 4%

• 6%

• 3%

What was the population growth rate per year in California?

• 2%

• 5%

• 3%

• 4%

How many years passed from 1900 to 2000?

• 100 years

• 125 years

• 75 years

• 50 years

What was the annual rate of forest acreage decrease due to development?

• 4%

• 3%

• 5%

• 2%

What was the depreciation rate per year for the $55,000 purchase?

• 10%

• 12%

• 14%

• 16%

What is the correct approach to determine if a scenario involves growth or decay?

• By the initial amount

• By the time period involved

• By the context of the problem

• By the rate given