Opsmath1.weebly.com



IF.8B [1816789]StudentClassDate1.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.???2.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.??3.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.??4.The function f(x)?=?19,000(0.89)xmodels 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.??5.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.??6.The function f(x)?=?250(1.12)xmodels 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%??7.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.??8.The value of an antique car is modeled by the function where x is the number of years since 2005.? By what approximate percent rate is the value of the car increasing per year??A.0.04%?B.0.14%?C.0.60%?D.1.40%??9.The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dish, which function can be used to determine the number of bacteria in the Petri dish in exactly x hours??A.?B.?C.?D.??10.The hydrogen ion concentration of an acid is given by the formulawhere p is the pH. If solution A has a pH of 4, and solution B has a pH of 2, what is the ratio of the hydrogen ion concentrations of solution A to solution B??A.1:100?B.1:2?C.2:1?D.100:1??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 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%??13.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.??14.The population growth for a community can be modeled byWhich function is equivalent to f (x)??A.?B.?C.?D.??15.Yvonne?bought a car for $10,300. After 3 years, the value of the car was $6,250. The value of this car?decreases exponentially over time. In approximately what number of additional months will the value of Yvonne’s car be 50%?of the price she originally paid??A.1.2 months?B.4.2 months?C.14.4 months?D.50.4 months??16.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??17.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.??18.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%??19.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.??20.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??21.Which statement?best describes the equationwhere A represents the initial value and x represents time in years??A.y represents a function with an exponential decay of 2.5%.?B.y represents a function with an exponential decay of 150%.?C.y represents a function with an exponential growth of 2.5%.?D.y represents a function with an exponential growth of 150%.??22.Which statement?best describes the equationwhere A represents the initial value and x represents time in years??A.y represents a function with an exponential decay of 45%.?B.y represents a function with an exponential decay of 55%.?C.y represents a function with an exponential growth of 45%.?D.y represents a function with an exponential growth of 55%.??23.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.??24.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%??25.The intensity I of a d-decibel sound is given by the formulawhere A is the intensity of a 0-decibel sound. How much more intense is a 105-decibel sound than a 100-decibel sound??A.times?B.times?C.5 times?D.times??26.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??27.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??28.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.??29.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.??30.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%.??31.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.??32.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%??33.Lucy initially invested $1,000 in a stock. The value of the stock increased exponentially over time. After 5 years, the value of the stock was $1,675. If no deposits or withdrawals are made, in approximately what number of additional years would the value of the stock be triple the original investment??A.1 year?B.6?years?C.11 years?D.25 years??34.Which function represents an initial population that increases 22% per year where A represents the initial value and x represents time in years??A.?B.?C.?D.??35.A?new model of a cell phone was released while the original model was still being sold. The average number of the original model sold each week was 2750, which decreased by 21% each week after the new model?was released. Which function can be used to determine the average number of original model cell phones sold each week x weeks after the new model was released??A.?B.?C.?D.??36.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%??37.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.??38.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.??39.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%??40.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%??41.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%??42.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.?? ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download