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F.IF.8B [579876]StudentClassDate1.The population of rabbits in a local park reserve can be modeled?by?the function where t represents the number of years. Which statement is true based on the function?/files/assess_files/93e7ed95-2c8d-4e5d-a287-b4aba2527f53/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.The population?is decreasing at the rate of 8%.??B.The population is increasing at the rate of 8%.??C.The population is decreasing at the rate of 92%.??D.The population is increasing at the rate of 92%.???2.The number of people that subscribe to a magazine can be modeled by the function s(t)?=?57(1.03)12t, where t is the number of months since the magazine was released. Which statement best describes how the number of people who subscribe to the magazine is changing???A.increasing by about 43% annually??B.increasing by about 43% monthly??C.increasing by about 3% annually??D.increasing by about 3% monthly???3.The function models the value of an investment over years. Which statement best describes the investment modeled by /files/assess_files/fb446e09-bab1-40ae-9095-a08b2628bb21/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.The investment grows at the rate of 25% per year.??B.The investment grows at the rate of 20% per year.??C.The investment decreases at the rate of 20% per year.??D.The investment decreases at the rate of 25% per year.???4.A population of insects, in thousands, can be modeled using the function p(t)?=?1.75(0.97)t, where t is time in months. Which statement best describes the population of insects???A.The population is decaying at a rate of 3% each month.??B.The population is decaying at a rate of 25% each month.??C.The population is growing at a rate of 75% each month.??D.The population is growing at a rate of 97% each month.???5.A scientist studied the population growth of a certain type of bacteria. He concluded that if you start with 2 bacteria, then the population, P, would triple with each passing day, x. Which of these equations represents the population growth of this bacteria?/files/assess_files/714395a6-211e-4b80-b075-b315e6d24e8a/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???6.The population of a particular city grows exponentially, increasing 1.8% each year. Its population in 2012 is represented by the expression below.??In what year was the population of this city 130,000?/files/assess_files/0b28544a-dbef-4df0-bbd6-e74c8bfdd65f/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.1965??B.1994??C.2012??D.2018???7.What is the y-intercept of the graph of?the function /files/assess_files/61576c94-16d3-4138-85a2-c25eba3e4dbe/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???8.In 2008, the?enrollment at Greenwood Elementary School?was 865 students.?The equation ?can be used to determine the?number, N, of students enrolled?t years after 2008. Which statement?about the change in enrollment is?true? /files/assess_files/365f22b0-26cd-4fac-8a3e-5924426959d6/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.The enrollment at Greenwood Elementary School is decaying at the rate of 0.92% each year.??B.The enrollment at Greenwood Elementary School?is growing at the rate of 0.92% each year.??C.The enrollment at Greenwood Elementary School?is decaying at the rate of 8% each year.??D.The enrollment at Greenwood Elementary School?is growing at the rate of 8% each year.???9.The function f(x)?=?2,500(0.97)x models the value of an investment after x months. Which statement is true about the value of the investment???A.The value of the investment increases by 3% each month.??B.The value of the investment decreases by 3% each month.???C.The value of the investment increases by 97% each month.???D.The value of the investment decreases by 97% each month.????10.The table below shows the increase in continuous growth for a certain strain of bacteria that is measured in t days.??? BACTERIA GROWTHNumber of days,tNumber of bacteria, y040180215933174632?The equation represents the approximate number of bacteria after 9 days. What is the rate of change for this strain of bacteria?/files/assess_files/17180303-5ff0-425e-a67e-435e64f3751b/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.56%??B.69%??C.200%??D.621%???11.Which of the following functions is an exponential decay function?/files/assess_files/1d6d8992-cc3b-4081-bffc-09fbbf8018b6/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???12.The population of a town t years after 2000 is modeled by the function? . At what rate is the population decreasing each year???A.0.25%??B.0.69%??C.3%??D.9%???13.A scientist is observing the size of a sample of bacteria. The function f(t)?=?1,000(0.995)t models the size of the sample t hours after the scientist began his observations. Which statement is true about the size of the sample???A.The sample is growing at a rate of 99.5% per hour.??B.The sample is decaying at a rate of 99.5% per hour.??C.The sample is growing at a rate of 0.5% per hour.??D.The sample is decaying at a rate of 0.5% per hour.???14.Amy deposited $2500 into a savings account. The?value of the account?after t years is given by the equation shown below.??Which of these statements?about the?growth rate?of the savings account?is true?/files/assess_files/694614c5-53e3-4331-a6ad-88ea5687f336/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.It is growing at an annual rate of 1.8% compounded quarterly.??B.It is growing at an annual rate of 1.8% compounded yearly.??C.It is growing at an annual rate of 7.2% compounded quarterly.??D.It is growing at an annual rate of 7.2% compounded yearly.???15.Which function represents exponential decay?/files/assess_files/9f1650be-a2ea-45b9-9263-a0033f57664f/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???16.The function f(x) = 1.69(1.03)x models the value of an investment, in thousands, after x years. What is the yearly interest rate the investment is earning???A.3%??B.31%??C.69%??D.97%???17.Genevieve deposited $400 into her bank account. The equation? can be used to calculate the value of her money after t?years. What is the annual interest rate she is earning on her deposit?/files/assess_files/200ddc68-bca2-42da-afa9-b927e68d59e9/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.?? 0.07%??B.?? 1.07%??C.?? 7%??D.107%???18.The value of a set of cooking dishes can be modeled with the function , where x represents the number of years since the dishes were purchased. Which statement best describes the value of the dishes over time???A.The value of the dishes?is increasing by 90.12% each year.??B.The value of the dishes is?decreasing by 9.8% each year.??C.The value of the dishes is increasing by approximately 91.7% each year.??D.The value of the dishes is?decreasing by approximately 8.3% each year.???19.The equation represents?the cost of yearly?tuition?at Henry’s college?after?x?years, where represents the first year Henry attends this college.Part A.?Is the cost of tuition?increasing or decreasing? Which part of the equation can be used to support your answer? Explain.Part B. At what rate is the cost increasing or decreasing?Use words, numbers, and/or pictures to show your work./files/assess_files/9e0861f1-97b0-4e61-b91a-81b11a528fd4/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????20.Which function could represent a population that is growing at a rate of 15% per year, t???A.P = 1,500(0.85)t??B.P?= 0.85(1,500)t??C.P?= 1,500(1.15)t??D.P?= 1.15(1,500)t???21.The function f(x)?=?19,000(0.89)x models the value of a boat x years after its purchase. Which statement correctly describes the value of the boat???A.The value is decreasing by 11% per year.??B.The value is decreasing by 89% per year.??C.The value is increasing by 11% per year.??D.The value is increasing by 89% per year.???22.The function? models the population of rabbits in an area after t years. What is the approximate rate the population of rabbits is growing each year???A.1.015%??B.1.5%??C.18%??D.20%???23.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%???24.The function ?represents the value of an antique x years after it was purchased. Which statement describes the value of the antique over time???A.The value is increasing by 5.9% each year.??B.The value is decreasing by 5.9% each year.??C.The value is increasing by approximately 2.2% each year.??D.The value is decreasing by approximately 2.2% each year.???25.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%???26.Which expression represents the total amount earned on $2,500 invested in a savings account yielding 0.65% per year for 5 years?/files/assess_files/217f817f-7b3e-44c0-94d0-a2e1d9761fb5/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???27.The value of a car x years after it was purchased is modeled by the function f(x)?=?15,550(0.84)x. Which best describes the value of the car???A.The value of the car is decreasing by 16% each year.??B.The value of the car is increasing by 16% each year.??C.The value of the car is decreasing by 84% each year.??D.The value of the car is increasing by 84% each year.???28.The function v(x) = 20,000(0.87)x models the value of a car x years after its purchase. Which best describes the rate of change in the value of the car???A.exponential growth of 87% each year??B.exponential growth of 13% each year??C.exponential decay of 87% each year??D.exponential decay of 13% each year???29.The function f(t)?=?24,500(0.84)t models the population of a town t years after 2008. What rate is the population of the town decreasing each year???A.16%??B.24.5%??C.75.5%??D.84%???30.The function f(x)?=?12,500(0.89)x models the value of a car x years after its purchase. Which statement is true about the value of the car???A.The value of the car is decreasing at a rate of 11% per year.??B.The value of the car is decreasing at a rate of 89% per year.??C.The value of the car is increasing at a rate of 11% per year.??D.The value of the car is increasing at a rate of 89% per year.???31.The population of a culture of bacteria is modeled by the equation ?The population of a culture of amoeba is modeled by the equation ?If?P represents the population and t represents the time in hours, what is the rate of change in both the populations of bacteria and amoeba?Is?the rate of change?growth or decay for each of the given populations?Use words, numbers, and/or pictures to show your work. Write your answer(s) on the paper provided./files/assess_files/6b52ddf0-0cdd-4d58-8674-eaee917363da/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????32.Which expression represents exponential growth?/files/assess_files/87855be0-860e-4429-91e2-d83aef485030/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf??A.??B.??C.??D.???33.Selecting an Investment Plan?You have $400 to invest in a bank account. Your bank offers two plans, as shown by the equations below. In both equations, is the balance, the amount of money, in dollars, in the account after t years since investing the principal, P.Plan #1:Plan #2:?Part AWhat is the annual percentage rate for Plan #1? What is the compounding period for each plan??Part BYou decide to invest $200 in each plan and let the investment grow undisturbed for 10 years. Which plan has the greater balance after 10 years? By how much? Show your work. Be as precise as possible as you make your calculations, but round your answer to the nearest cent.Explain why the two plans generate different balances. Your explanation should include words and mathematical formulas, and it should mention the difference in exponents.?Part CIs there a significant advantage to investing $200 in one plan over the other if you plan to leave it undisturbed for 20 years?? Justify your answer by comparing the balances in each plan at the end of 20 years.Would the difference be significant if the initial deposits were $600 rather than $200?Would the difference be significant if the annual interest rate on each account was 6% rather than 2%??Part DCreate a chart to show how much money would be in the account in Plan #2 for each of the first 6 months. Round your answer for each month to the nearest cent. Use the rounded amounts in your calculations for each month.Explain a change that must be made in the equation to determine these numbers.?Part EDetermine the amounts you show in your chart from Part D using only the four basic operations, without a graphing or scientific calculator. Round your answer for each month to the nearest hundredth. Use the rounded amounts in your calculations for each month.Show your work./files/assess_files/e0d271ea-ae96-4ea7-9988-9e1e37d1b952/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?????34.The function f(x)?=?250(1.12)x models the number of students at a school x years after it opened. By what rate is the number of students increasing each year???A.0.12%??B.0.88%??C.12%??D.88%??? ................
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