Exponential Growth and Decay Concepts

The video tutorial explains exponential growth and decay, focusing on identifying growth or decay in functions and determining the percentage rate of change. It provides examples with different growth and decay factors, demonstrating how to convert these factors into percentages for better understanding. The tutorial emphasizes the importance of recognizing whether a function is growing or shrinking and calculating the rate of change accurately.

What is the main focus of exponential growth and decay problems?

• Initial value of the function

• The end value of the function

• Growth or decay factor

• The starting point of the function

What does a growth factor greater than 1 indicate?

• Stability

• No change

• Decay

• Growth

How can you convert a growth factor to a percentage?

• Multiply by 100

• Divide by 100

• Add 100

• Subtract 100

What percentage growth does a factor of 1.46 represent?

• 46%

• 146%

• 1.46%

• 100%

If a growth factor is 1.078, what is the percentage increase?

• 107.8%

• 7.8%

• 0.78%

• 78%

What does a decay factor less than 1 indicate?

• Increase

• No change

• Decay

• Growth

If a decay factor is 0.93, what percentage is left?

• 93%

• 7%

• 100%

• 0.93%

What is the percentage loss if the decay factor is 0.945?

• 55%

• 0.55%

• 94.5%

• 5.5%