Exploring Exponential Growth and Decay Concepts

What does the variable 'a' represent in the exponential growth formula?

• The time in years

• The final amount

• The initial amount

• The rate of growth

How is the growth rate 'R' expressed in the formula for exponential growth?

• As a percentage

• As a whole number

• As a fraction

• As a decimal

In the context of exponential growth, what does the base of the exponent indicate when it is greater than one?

• Exponential decay

• Linear growth

• Exponential growth

• No growth

What is the correct formula for exponential decay?

• F(T) = a * (1 - R)^T

• F(T) = a / (1 + R)^T

• F(T) = a * (1 + R)^T

• F(T) = a / (1 - R)^T

In exponential decay, if the value inside the parentheses is less than one, what does it indicate?

• No change

• Exponential growth

• Linear decay

• Exponential decay

How do you express a decay rate of 2.25% as a decimal?

• 22.5

• 0.225

• 0.0225

• 2.25

What does the y-intercept represent in an exponential function?

• The initial amount

• The rate of change

• The final amount

• The time elapsed

For a car depreciating at 6.5% per year, what is the value of 'B' in the exponential decay formula?

• 1.065

• 0.065

• 0.935

• 0.935

If an oven depreciates at a rate of 1.25% per year, what is the correct expression for its value after 8 years?

• 32,000 / (1 - 0.0125)^8

• 32,000 * (1 + 0.0125)^8

• 32,000 * (1 - 0.0125)^8

• 32,000 / (1 + 0.0125)^8

In the formula for exponential decay, what does 'T' represent?

• The total amount

• The rate of decay

• The initial amount

• The time period