Exponential Decay and Growth Schoolnet

The function f(x) = 2,500(0.97)^x models the value of an investment after x months. What does the 0.97 represent in this context?

• A 3% increase in value each month

• A 3% decrease in value each month

• A 97% increase in value each month

• A 97% decrease in value each month

Tags

CCSS.HSF.LE.B.5

Amy deposited $2500 into a savings account. If the value of the account after t years is given by the equation V = 2,500(1 + 0.018)^4t, what is the compounding frequency of the interest?

• Compounded quarterly

• Compounded yearly

• Compounded monthly

• Compounded daily

Tags

CCSS.HSF-LE.A.1C

Which statement BEST describes the equation y = A(0.55)^t, where A represents the initial value and t represents time in years?

• It represents a function with an exponential decay of 45%

• It represents a function with an exponential decay of 55%

• It represents a function with an exponential growth of 45%

• It represents a function with an exponential growth of 55%

Tags

CCSS.HSF-IF.C.8B

The function p(x) = 104(1.09)^x models the population of blue birds in an area x years after 1980. At what rate is the population of blue birds increasing each year?

• A. 4%

• B. 9%

• C. 91%

• D. 96%

Tags

CCSS.HSF-IF.C.8B

The function y = 600(1.03)^x models the value of a lady's ring x years after its purchase. What percent does the value of the ring increase by each year?

• A. 0.03%

• B. 1.03%

• C. 3.00%

• D. 103%

Tags

CCSS.HSF-IF.C.8B

The number of grams of an x-gram sample of a radioactive element left after w weeks can be modeled by the expression x(0.75)^w. What is the approximate rate of decomposition per day?

• A. 0.99%

• B. 4.03%

• C. 62.70%

• D. 95.97%

Tags

CCSS.HSF-LE.A.1C