Exponential Decay Concepts and Calculations

The video tutorial explains how to write exponential decay functions using initial values and decay rates. It begins by introducing the concept of exponential decay and the function's form. The tutorial then demonstrates how to convert decay rates from percentages to decimals. Following this, it guides viewers through writing exponential decay functions using these converted values. Finally, the video provides examples of exponential decay functions with different initial values and decay rates, ensuring a comprehensive understanding of the topic.

What is the base of an exponential decay function if the decay rate is 0.15?

• 1.85

• 0.15

• 1.15

• 0.85

How do you convert a percentage to a decimal?

• Add 100

• Divide by 100

• Multiply by 100

• Subtract 100

If a decay rate is given as 5%, what is its decimal equivalent?

• 5.0

• 0.05

• 0.5

• 0.005

How would you express 0.5% as a decimal?

• 0.005

• 5.0

• 0.5

• 0.05

What is the decay factor for a decay rate of 0.24?

• 0.24

• 0.76

• 1.24

• 1.76

Which key is used as the exponent key on a keyboard?

• Shift 6

• Alt 6

• Ctrl 6

• Shift 5

What is the initial value in the function F(x) = 775 * 0.76^x?

• x

• 775

• 0.76

• 1

For the function F(x) = 98 * 0.93^x, what is the decay rate?

• 1.07

• 98

• 0.93

• 0.07

In the function F(x) = 4152 * 0.995^x, what does 0.995 represent?

• Exponent

• Initial value

• Decay rate

• Decay factor

What is the decay factor if the decay rate is 0.005?

• 0.995

• 0.05

• 1.005

• 0.5