Understanding Growth and Decay

What is an example of a growth problem?

• A tree shedding leaves

• A savings account earning interest

• A house depreciating in value

• A car losing value over time

In the growth formula, what does the variable 'a' represent?

• The rate of growth

• The final amount

• The initial amount

• The time period

How do you convert a percentage to a decimal in the formula?

• Move the decimal point two places to the left

• Multiply by 10

• Divide by 1000

• Add a zero at the end

What is the population of Barnesville predicted to be after 8 years at a 10% growth rate?

• 12,500

• 30,000

• 26,795

• 15,000

In a decay problem, how is the rate of depreciation represented in the formula?

• As a negative percentage

• As a positive percentage

• As a whole number

• As a fraction

What happens to the value of a car each year if it depreciates at a 4% rate?

• It increases by 4%

• It remains the same

• It doubles

• It decreases by 4%

Which of the following is NOT a characteristic of a decay problem?

• The final value is higher than the initial value

• The initial value decreases over time

• The rate is subtracted from 1

• It involves depreciation

What is the final value of a car after 6 years if it depreciates at a 4% rate from an initial value of $18,000?

• $12,000

• $16,000

• $14,090

• $15,000

Why might a calculator give a more accurate result than manual rounding in these problems?

• Calculators are faster

• Calculators avoid rounding errors

• Calculators can handle larger numbers

• Calculators use a different formula

What is the main difference between growth and decay problems?

• Decay problems involve addition

• Growth problems result in a higher final value

• Decay problems result in a higher final value

• Growth problems involve subtraction