Exploring Exponential Growth and Decay Concepts

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

• The rate of growth as a decimal

• The initial amount

• The final amount

• The time period

How do you convert a percentage growth rate to a decimal for the formula?

• Multiply by 100

• Divide by 100

• Move the decimal two places to the left

• Move the decimal two places to the right

What does the 'T' in the exponential growth formula stand for?

• Tax rate

• Total amount

• Time period

• Transaction number

In the context of a savings account, what does exponential growth represent?

• The fixed interest rate

• The decrease in value over time

• The increase in value due to interest

• The constant addition of funds

How is the population growth of a town modeled mathematically?

• Linear equation

• Exponential growth formula

• Quadratic equation

• Logarithmic function

What is the key difference in the formula for exponential growth and decay?

• The initial amount

• The use of plus or minus before the rate

• The time period

• The exponent

How do you determine if an equation represents growth or decay?

• If the base is greater than 1, it's growth

• If the rate is positive, it's decay

• If the exponent is negative, it's decay

• If the initial amount is large, it's growth

What does a rate of 0.04 represent in an exponential decay formula?

• 4% decrease

• 0.4% decrease

• 40% decrease

• 4% increase

In the context of soil absorption, what does exponential decay model?

• The decrease in water absorption capacity over time

• The increase in water absorption over time

• The constant rate of water absorption

• The initial amount of water absorbed

What does the graph of an exponential decay function approaching but never touching the x-axis represent?

• The rate of decay increases over time

• The quantity decreases but never reaches zero

• The quantity will eventually become negative

• The function has no limit