Brainly
Question 1 (Multiple Choice Worth 1 points)(04.01)??Which of the following shows the correct steps to find the value of ?Question 2 (Multiple Choice Worth 1 points)(04.06)??The sales totals at Robert's food store have increased linearly over the months. Which of these best shows the sales in the first three months?$1200 in the first month, $1212 in the second month, $1224.12 in the third month$1200 in the first month, $1236 in the second month, $1273.08 in the third month$1200 in the first month, $1285.48 in the second month, $1370.96 in the third month$1200 in the first month, $1224.28 in the second month, and $1248.48 in the third monthQuestion 3 (Multiple Choice Worth 1 points)(04.02)??What is the exact value of the expression ? + ? Simplify if possible.2268Question 4 (Multiple Choice Worth 1 points)(04.05)??The number of subscribers y to a newspaper after t years is shown by the equation below:??y = 75(0.95)t??Which conclusion is correct about the number of subscribers to the newspaper?It increased by 75% every year.It decreased by 75% every year.It increased by 5% every year.It decreased by 5% every year.Question 5 (Multiple Choice Worth 1 points)(04.01)??Simplify .Question 6 (Multiple Choice Worth 1 points)(04.07)??The functions f(x) and g(x) in the table below show Jane's and Mariah's savings respectively, in dollars, after x days. Some values are missing in the table.?x(years)123f(x) = 2xJane's savings in dollars24g(x) = 2xMariah's savings in dollars24Which statement best describes Jane and Mariah's savings in the long run?Jane will save more than Mariah.Mariah will save more than Jane.The savings will increase by the same factor for both.The savings will increase by the same percentage for both.Question 7 (Multiple Choice Worth 1 points)(04.03)??Diana invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years:??f(x) = 400(1.01)x??What was the average rate of change of the value of Diana's investment from the second year to the fifth year?1.01 dollars per year2.47 dollars per year4.12 dollars per year12.36 dollars per yearQuestion 8 (Multiple Choice Worth 1 points)(04.05)??The table below shows the functions to represent the sale f(t), in thousands, of four companies in t years:?CompanyABCDSalef(t) = 1.05tf(t) = 0.75tf(t) = 1.212tf(t) = 0.9712tWhich of the following companies showed an exponential decay in sale?Company A and Company CCompany B and Company DCompany C and Company DCompany A and Company BQuestion 9 (Multiple Choice Worth 1 points)(04.01)??Which of the following is equal to ?Question 10 (Multiple Choice Worth 1 points)(04.05)??The price of gold has increased by 35% per year from 2000. In the year 2000, Harry bought a gold ring for $590. Which of the following functions f(x) can be used to represent the price of the ring x years after 2000?f(x) = 590(1.35)xf(x) = 590(0.65)xf(x) = 35(0.41)xf(x) = 35(1.59)xQuestion 11 (Multiple Choice Worth 1 points)(04.07)??The functions p(x) and g(x) are shown below:??g(x) = 0.09x?p(x) = (0.09)x??Which statement best describes the graph of p(x) and g(x)?The graphs will both have their y-intercept equal to 1.The graphs will both have their y-intercept equal to 0.09.The graph of p(x) will eventually exceed the graph of g(x).The graph of g(x) will eventually exceed the graph of p(x).Question 12 (Multiple Choice Worth 1 points)(04.01)??Which of the following best defines ?Square root of 9Cube root of 9Cube root of 3Square root of 3Question 13 (Multiple Choice Worth 1 points)(04.05)??The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. The function below shows the relationship between f(x) and x:??f(x) = 10(1.3)x??Which of the following graphs best represents the function?Question 14 (Multiple Choice Worth 1 points)(04.03)??A music competition on television had five elimination rounds. After each elimination, only half of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition:?x12345f(x)64321684Compute the average rate of change of f(x) from x = 3 to x = 5 and describe what it represents.?6 contestants per round, and it represents the number of contestants who will reach the final round?28 contestants per round, and it represents the number of contestants who will reach the final round?6 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round?28 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth roundQuestion 15 (Multiple Choice Worth 1 points)(04.03)??The function f(x) = 800(1.09)5x shows the growth due to interest that Jim earns on an investment.??The steps to calculate an equivalent function are shown below:?[Step 1]f(x) = 800(1.09)5x[Step 2]f(x) = 800(1.095)5x[Step 3]f(x) = 800(1.5386)5x[Step 4]f(x) = 800(1.5386)xWhich of the following is the first incorrect step?Step 1Step 2Step 3Step 4Question 16 (Multiple Choice Worth 1 points)(04.06)??Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below:??Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week.??Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.??Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?Mona's method is linear because the number of minutes increased by an equal factor every week.Sasha's method is exponential because it increases by an equal number every week.Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.Question 17 (Multiple Choice Worth 1 points)(04.05)??The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x ? k. What is the value of k?371013Question 18 (Multiple Choice Worth 1 points)(04.05)??Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after time t:?t (hours)12345f(t) (mg)150905432.419.4Ken was administered 200 mg of the same antibiotic. The amount of antibiotic f(t) in his body after time t is shown by the equation below:f(t) = 200(0.976)tWhich statement best describes the rate at which Maureen's and Ken's bodies eliminated the antibiotic?Maureen's body eliminated the antibiotic faster than Ken's body.Maureen's body eliminated the antibiotic at the same rate as Ken's body.Maureen's body eliminated the antibiotic at half of the rate at which Ken's body eliminated the antibiotic.Maureen's body eliminated the antibiotic at one-fourth of the rate at which Ken's body eliminated the antibiotic.Question 19 (Multiple Choice Worth 1 points)(04.05)??The population f(x), in millions, of State A of a country after x years is represented by the function shown below:??f(x) = 4(1.08)x??The graph shows the population g(x), in millions, of State B of the country after x years:????Which conclusion is correct about the population of State A and State B?The original population of State A was double of the original population of State B.The original population of State B was double of the original population of State A.The original population of State A was four times of the original population of State B.The original population of State A was equal to the original population of State B.Question 20 (Multiple Choice Worth 1 points)(04.07)??The amount of radioactive uranium changes with time. The table below shows the amount of radioactive uranium f(t) left after time t:?t(hours)00.51f(t)1005025Which exponential function best represents the relationship between f(t) and t?f(t) = 100(0.25)tf(t) = 0.25(100)tf(t) = 100 (0.5)tf(t) = 0.25(50)tQuestion 21 (Multiple Choice Worth 1 points)(04.03)??Jane is studying the rate at which the sale of a particular brand of chocolate has increased over the years. The graph below shows the number of bars sold y, in thousands, after x years since the year 2000:????What does the y-intercept of the graph represent?Price of a bar of chocolateNumber of bars sold in 2000Number of bars sold before 2000Rate of increase in the sale of chocolatesQuestion 22 (Multiple Choice Worth 1 points)(04.07)??A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:??f(n) = 9(0.7)n??What does the number 9 in the function represent?Number of times the ball was dropped.Height from which the ball was dropped.Height to which the ball will bounce at the nth bounce.Number of times the ball bounces at the nth bounce.Question 23 (Multiple Choice Worth 1 points)(04.03)??The number of users of the internet in a town increased by a factor of 1.01 every year from 2000 to 2010. The function below shows the number of internet users f(x) after x years from the year 2000:??f(x) = 3000(1.01)x??Which of the following is a reasonable domain for the function?0 ≤ x ≤ 102000 ≤ x ≤ 20100 ≤ x ≤ 3000All positive integersQuestion 24 (Multiple Choice Worth 1 points)(04.06)??Chang added some chlorine to the water in a pool. The chlorine evaporated at a fixed rate every week. The table below shows the amount of chlorine f(n), in ounces, that was left in the pool after n weeks:?nf(n)1242123643Which function best shows the relationship between n and f(n)?f(n) = 48(0.5)n?1f(n) = 24(0.5)nf(n) = 24(0.5)n?1f(n) = 48(0.5)n+1Question 25 (Multiple Choice Worth 1 points)(04.05)??The graphs below show four functions:????Which graph best shows the function f(x) = 5(2)?x to represent the rate at which a radioactive substance decays?Graph AGraph BGraph CGraph DQuestion 26 (Multiple Choice Worth 1 points)(04.05)??Which statement best describes the effect of replacing the function f(x) = 2x ? 2 with the function g(x) = 2x + 3?The graph shifts 1 units left.The graph shifts 5 units left.The graph shifts 1 unit right.The graph shifts 3 units right.Question 27 (Multiple Choice Worth 1 points)(04.07)??The same amount of trash from a landfill is recycled every day. The function below shows the total number of tons of trash n left in the landfill after x days. Assume that new trash is not added to the landfill.??n = 50000 ? 1000x??What does the number 1000 represent?Amount of trash left after 1 dayAmount of trash recycled in x daysAmount of trash recycled every dayAmount of trash originally in the landfillQuestion 28 (Multiple Choice Worth 1 points)(04.05)??The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)xf(x) = 90(1.013)xf(x) = 91.2(2.2)xf(x) = 90(2.2)xQuestion 29 (Multiple Choice Worth 1 points)(04.02)??An expression is shown below:????Which statement is true about the expression?It is rational and equal to 3.It is rational and equal to 4.It is irrational and equal to .It is irrational and equal to .Question 30 (Multiple Choice Worth 1 points)(04.03)??Jake forgot to replace the cap on a bottle of cologne. The cologne began to evaporate at the rate of 18% per day. If the original amount of cologne in the bottle was 50 grams, which of the following graphs best represents the amount of cologne f(x) remaining in the bottle after x days?Question 31 (Multiple Choice Worth 1 points)(04.03)??The graph below shows three functions:????Which function has all real numbers as its domain?Only f(x)Both g(x) and p(x)Both f(x) and g(x)Only p(x)Question 32 (Multiple Choice Worth 1 points)(04.06)??A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.??Which recursive function best represents the number of MP3 players in the store f(n) after n months?f(n) = 0.7 × f(n ? 1) + 50, f(0) = 235, n > 0f(n) = 237 ? 0.7 × f(n ? 1) + 50, f(0) = 235, n > 0f(n) = 0.3 × f(n ? 1) + 50, f(0) = 235, n > 0f(n) = 237 + 0.7 × f(n ? 1) + 50, f(0) = 235, n > 0Question 33 (Multiple Choice Worth 1 points)(04.03)??Which of the following is an equivalent function to the function below???f(x) = 40(1.04)4xf(x) = 40(4.1600)xf(x) = 480(1.04)xf(x) = 40(1.1699)xf(x) = 480(4.1600)x ................
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