SAT data analysis and statistics part 3 Mastering Advanced Math: SAT Test - part 3The quiz consists of 200 questions, and the user will be presented with a unique set of 10 questions in each session for a diverse experiencePlease note that answers cannot be deselected once chosen in the quiz, so make your choices carefully for an optimal testing experience.Each question is meticulously crafted to mirror the complexity and diversity of problem-solving you'll encounter in the SAT.Use it as a targeted practice tool to identify and address specific areas of improvement.Track your progress and see your proficiency grow. 1. What percent of the people surveyed saw either an action or a science fiction movie? Refer to the graph above that summarizes a survey of agroup of 250 people who were randomly selected when leaving a multiplex movie theater and asked what type of movie they had seen. 45 44 41 42 None 2. Two health clubs offer different membership plans. The accompanying graph represents the total yearly cost of belonging to Club A and Club B for one year. The yearly cost includes a membership fee plus a fixed monthly charge. By what amount does the monthly charge for Club A exceed the monthly charge for Club B? 10.00 5.00 7.50 12.50 None 3. The table above summarizes the number of people by age group who were included in a survey of driving habits. Which of the followingstatements is true? The survey was biased because individuals 36 and older were underrepresented. The survey was biased because it did not differentiate between males and females. The survey was not biased since a large number of drivers were polled. The survey was not biased since different age groups were included. None 4. The average of r and s is 7.5, and the average of r, s and t is 11. Whatis the value of t? 18 25 15 23 None 5. The table above shows the annual salaries for the 24 members of a professional sports team in terms of millions of dollars.The team signs an additional player to a contract with an annual salary of 7.5 million dollars per year, which brings the sum of the salaries of the 25 players to 69 million dollars. By what amount, in dollars, does the mean increase? 256,250 197,500 300,000 It cannot be determined None 6. The greatest percent of increase in the jogger’s heart rate occurred overwhat interval of time, in minutes? Refer to the graph above which shows the heart rate, in beats per minute, of a jogger during a 4-minute interval. 1 to 2 0 to 1 2 to 3 3 to 4 None 7. The yearly growth in the number of fast food restaurants in a certainretail chain can be modeled by the function f(n) = 5 + 8n. According tothis model which statement is true? The y-intercept of the graph of function f shows the year in which the retail chain made a zero profit. The retail chain opened with 13 restaurants. 5 is the starting number of restaurants; 8 is the number of restaurants added each year after the first year. 8 is the initial number of restaurants; 5 is the number of restaurants added each year after the first year None 8. If 2a + b = 7 and b + 2c = 23, what is the average of a, b, and c? 7.5 5 12.25 15 None 9. Susan received grades of 78, 93, 82, and 76 on four math exams. Whatis the lowest score she can receive on her next math exam and have anaverage of at least 85 on the five exams? 90 92 94 96 None 10. The average of a, b, c, d, and e is 28. If the average of a, c, and e is 24,what is the average of b and d? 32 31 34 33 None 11. A certain population of insects starts at 16 and doubles every 6 days.What is the population after 60 days? $$2^{14}$$ $$2^{10}$$ $$2^{6}$$ $$2^{32}$$ None 12. The number of hours, H, needed to manufacture X computer monitorsis given by the function H = kX + q, where k and q are constants. If ittakes 270 hours to manufacture 100 computer monitors and 410 hoursto manufacture 160 computer monitors, how many minutes arerequired to manufacture each additonal computer monitor? write answer only in numbers 13. Which of the following statements is true about the data in the tables above?I. The mean salaries for both companies are greater than $35,000.II. The mean age of workers in Company 1 is greater than the meanage of workers in Company 2.III. The salary range in Company 2 is greater than the salary range inCompany 1. III only I only II and III only I and II only None 14. Which of the accompanying tables that show how population is changing over time illustrate exponential decay? Table IV Table II Table I Table III None 15. Some banks charge a fee on savings accounts that are left inactive foran extended period of time. The equation \(y = 5,000(0.98)^{x}\)represents the value, y, of one account that was left inactive for a period of xyears. What is the y-intercept of this equation and what does itrepresent? 5,000, the amount of money in the account initially 5,000, the amount of money in the account after x years 0.98, the percent of money in the account initially 0.98, the percent of money in the account after x years None 16. Vanessa plans to invest $10,000 for 5 years at an annual interest rate of6% compounded annually. Which equation could be used to determinethe profit, P, Vanessa earns from her initial investment? $$P = 10,000\times [5(1.06)-1]$$ $$P = 10,000\times (1.06)^{5}$$ $$P = 10,000\times [(1.06)^{5}+1]$$ $$P = 10,000\times [(1.06)^{5}-1]$$ None 17. The graph above shows how $250,000 is invested. How much money is invested in municipal bonds? $30,000 $45,000 $37,500 $35,000 None 18. Which of the following is the best approximation for the decrease inthe number of cars purchased per year between 2011 and 2014? refer to the graph above. 140 180 105 185 None 19. In order to compensate for a difficult midterm exam, Danielle’smathematics teacher adjusted each of the 25 students’ midterm examscores by replacing it by one-half of the original score increased by 50.If the mean of the revised set of midterm scores is 82, what was themean of the original set of scores? 56 64 46 61 None 20. In a set of n data values, m represents the median. If each number in theset is decreased by 3, which expression represents the median of therevised set of data values? (m-3)/n m-(3/n) m-3 m None 21. A new fitness class was started at several fitness clubs owned by the same company. The scatterplot shows the total number of people attending the class during the first five months in which the class was offered. The line ofbest fit is drawn. For month 4, the predicted number of people attending the class was approximately what percent greater than the actual number of people attending the class? 15% 36% 20% 30% None 22. If the average of x, y, and z is 12, what is the average of 3x, 3y, and 3z? 26 46 36 16 None 23. A new fitness class was started at several fitness clubs owned by the same company. The scatterplot shows the total number of people attending the class during the first five months in which the class was offered. The line ofbest fit is drawn.During the five-month period, the average increase in the number of people attending the class per month is closest to which of the following? 140 100 80 120 None 24. The percent increase in the number of students enrolled in advanced mathematics courses from 2010 to 2011 exceeded the percent increase from 2012 to 2013 by approximately what percent? 67 8 133 75 None 25. The partially completed table above describes the distribution of 200 subjects in a study involving eye color in which there were 4 times as many males with brown eyes as with blue eyes and 7 times as many females with brown eyes as with blue eyes. What percent of the subjects were either male with blue eyes or female with brown eyes? 59% 57% 58% 56% None 26. If \( a_{n}\) represents the nth term of the sequence 54,18,6, ..., and \( a_{1}\)represents the first term, then \( a_{n}\) = $$6(\frac{1}{3})^{n}$$ $$54(\frac{1}{3})^{n-1}$$ $$6(\frac{1}{3})^{n-1}$$ $$54(\frac{1}{3})^{n}$$ None 27. The graph above represents a jogger’s speed during her 20-minute jogaround her neighborhood. Which statement best describes what thejogger was doing during the 9 to 12 minute interval of her jog? She was increasing her speed. She was standing still. She was decreasing her speed. She was jogging at a constant rate. None 28. The scatterplot above shows the profit, by month, for a new company for the first year of operation. A line of best fit is also shown. Using this line, by what dollar amount did the profit in the 18th month exceed the profit in the 13th month? $5,000 $7,750 $15,000 $12,500 None 29. The City Tunnel and Bridge Authority in a certain city estimates that40,000 vehicles currently travel over a certain bridge per year but, dueto highway construction and changing traffic patterns, vehicle trafficover the bridge will begin to decline by 12% every 5 years. Which ofthe following expressions best represents the vehicle traffic projectionsfor this bridge n years from now? $$40,000(0.88)^{\frac{n}{5}}$$ $$40,000(0.88)^{5n}$$ $$40,000(0.12)^{\frac{n}{5}}$$ $$40,000(0.12)^{5n}$$ None 30. On a test that has a normal distribution of scores, a score of 58 fallstwo standard deviations below the mean, and a score of 85 is onestandard deviation above the mean. What is the mean score of this test? 27 85 12 76 None 31. The equation above represents the total monthly cost, C, in dollars of adata plan offered by a cell phone company when the data usage in amonth exceeds a 1 gigabyte limit by d megabytes. According to themodel, what is the meaning of 0.05? The cost per megabyte of data used The cost per megabyte of data after one gigabyte of data is used The cost of each additional gigabyte of data after the first megabyte of data is used The cost per gigabyte of data used None 32. Given a starting population of 100 bacteria, the formula b(t) = 100(2^t)can be used to determine the number of bacteria, b, after t periods oftime. If each time period is 15 minutes long, how many minutes will ittake for the population of bacteria to reach 51,200?write answer only in numbers 33. Sasha invested $1,200 in a savings account at an annual interest rate of1.6% compounded annually. She made no further deposits orwithdrawals. To the nearest dollar, how much more money did shehave in the account after 3 years than after 2 years?write answer only in numbers 34. After a single sheet of paper is folded in half, there are two layers ofpaper. The same sheet of paper is repeatedly folded in half. If functionf represents the number of layers of paper that results when the originalsheet of paper is folded a total of x times, then which equation couldrepresent this function? $$f(x) = x²$$ $$f(x)= 2^{\frac{x}{2}}$$ $$f(x)= 2^{x}$$ $$f(x)= 2x$$ None 35. From 2014 to 2015 the number of students enrolled in advanced mathematics courses increased by the same percent that student enrollment in advanced mathematics courses dropped from 2013 to 2014. What was the approximate number of students enrolled in advanced mathematics courses in 2015? 420 440 450 480 None 36. The graph above shows the average daily temperature during a particular week in January in a certain city. Which statement best describes the temperature data in the graph above? median = mode mean < mode median = mean mean = mode None 37. Based on the cumulative histogram above, what percent of the total number of swimmers swam between 200 and 249 yards? 20% 15% 40% 30% None 38. A man drove a car at an average rate of speed of 45 miles per hour forthe first 3 hours of a 7-hour car trip. If the average rate of speed for theentire trip was 53 miles per hour, what was the average rate of speed inmiles per hour for the remaining part of the trip? 55 50 59 57 None 39. The table above shows the annual salaries for the 24 members of a professional sports team in terms of millions of dollars. If each player’s salary is increased by 10%, which of the following statistics does not increase by 10%? median all increase by 10% mode mean None 40. Refer to the above table, which summarizes the results of asurvey of the student body of a high school about club membership in which each student enrolled in the high school enumerated the clubs in which they were members.If a student is selected at random, what is the probability that the student is either a 9th grade student or belongs to 3 or more clubs? 0.7 0.6 0.8 0.4 None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
