Understanding Exponential Growth, Decay, and Compound Interest

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

• Rate of change

• Initial amount

• Time period

• Final amount

Tags

CCSS.HSF-IF.C.8B

How do you convert a percentage to a decimal for use in the formulas?

• Move the decimal point two places right

• Move the decimal point two places left

• Multiply by 100

• Divide by 100

What was the average annual growth rate of the U.S. population used in the example?

• 1.013

• 0.0091

• 1.3%

• 0.91%

In the example of exponential decay, what was the annual depreciation rate of the boat?

• 15%

• 8%

• 0.15

• 0.08

What is the correct formula for exponential decay?

• p = a(1 - r/n)^(nt)

• y = a(1 - r)^t

• y = a(1 + r)^t

• p = a(1 + r/n)^(nt)

Tags

CCSS.HSF-IF.C.8B

What would be the value of a car after 6 years if it depreciates at 8% per year, starting from $32,000?

• $19,000.00

• $19,403.36

• $20,000.00

• $18,500.00

Tags

CCSS.HSF.BF.A.2

What does 'n' represent in the compound interest formula?

• Initial amount of investment

• Number of times interest is compounded per year

• Rate of interest as a decimal

• Total number of years

How is the compound interest formula different from the simple exponential growth formula?

• Does not involve time

• Calculates only for whole years

• Includes division of rate by n

• Uses principal instead of initial amount

What is the value of an investment of $2,500 compounded monthly at 5.25% for 4 years?

• $3,100.00

• $3,000.00

• $3,200.00

• $3,082.78

Tags

CCSS.HSF-LE.A.1C

What final amount does the compound interest formula calculate?

• The value before interest

• The interest earned over the period

• The annual interest rate

• The total value after interest is applied