Exponential Growth and Decay

The video tutorial explains exponential functions, covering both growth and decay. It introduces the basic formula A/B to the X power, where B is the base, A is a coefficient, and X is the power. The tutorial provides examples of exponential growth and decay, highlighting how changes in the base affect outcomes. It discusses real-world applications, such as financial growth through interest and depreciation of car value. Keywords indicating growth or decay are identified, and the power of exponential growth is illustrated with a penny-doubling example.

What does the formula A/B to the X power represent when B is greater than one?

• Exponential decay

• Constant value

• Exponential growth

• Linear growth

In the context of exponential growth, what happens to the value of Y when the base B is increased from 2 to 3?

• Y becomes zero

• Y increases

• Y remains the same

• Y decreases

What is the result of Y when B is 1/2 in an exponential decay scenario?

• 1/4

• 1/8

• 1/16

• 1/2

Which of the following words suggests exponential decay?

• Shrink

• Double

• Increase

• Grow

How much will $100 grow to after one year at a 5% interest rate?

• $100

• $105

• $110

• $115

What is the value of a car after two years if it depreciates at a rate of 10% per year and was initially worth $10,000?

• $7,290

• $6,561

• $8,100

• $9,000

If you choose to double a penny every day for 31 days, what is the approximate value on the final day?

• $10,737,418.23

• $10,000

• $1,000,000

• $100,000