Exponential Decay Concepts and Applications

This video tutorial covers the concept of exponential decay, explaining the general equation y = a * B^X, where 'a' is the initial amount and 'B' is the decay factor. It discusses graphing exponential functions, highlighting the differences between growth and decay. The tutorial includes examples of uranium and plutonium decay, demonstrating calculations using half-life. It also explains how to handle decay rates given as percentages and solve for time using logarithms.

What is the general form of an exponential function?

• y = a + b^x

• y = a - b^x

• y = a * b^x

• y = a / b^x

In exponential decay, what is the range of the decay factor 'B'?

• Less than 0

• Greater than 1

• Between 0 and 1

• Equal to 1

How does an exponential decay graph differ from an exponential growth graph?

• Decay graph increases as x increases

• Decay graph has no horizontal asymptote

• Decay graph decreases as x increases

• Decay graph is a vertical reflection of growth graph

What happens to the amount of uranium-239 every two years?

• It is cut in half

• It remains the same

• It triples

• It doubles

What is the initial amount of uranium-239 in the example problem?

• 750 mg

• 2000 mg

• 1000 mg

• 500 mg

What is the base of the power in the uranium decay equation?

• 1

• 2

• 0.5

• 0.25

After 25 years, approximately how much uranium-239 remains?

• 0.25 mg

• 1 mg

• 0.5 mg

• 0.173 mg

What is the half-life of plutonium-239?

• 48 years

• 24 years

• 12 years

• 36 years

How is the decay rate expressed when given as a percentage?

• As a fraction

• As a ratio

• As a decimal

• As a whole number

If a car's value decreases by 16% annually, what is the base of the power in the decay equation?

• 0.16

• 0.84

• 1.16

• 0.5