Test

1/21/24, 12 : 45 PM Page 3 of 26 about:srcdoc ID: 2b15d65f An economist modeled the demand Q for a certain product as a linear function of the selling price P . The demand was 20,000 units when the selling price was $ 40 per unit, and the demand was 15,000 units when the selling price was $ 60 per unit. Based on the model, what is the demand, in units, when the selling price is $ 55 per unit ? A. 16,250 B. 16,500 C. 16,750 D. 17,500

1/21/24, 12 : 45 PM Page 6 of 26 about:srcdoc ID: be9cb6a2 The cost of renting a backhoe for up to days is for the first day and for each additional day. Which of the following equations gives the cost , in dollars, of renting the backhoe for days, where is a positive integer and ? A. B. C. D.

1/21/24, 12 : 45 PM Page 9 of 26 about:srcdoc ID: 6d99b141 In the figure, . The measure of angle is , and the measure of angle is . What is the value of ?

1/21/24, 12 : 45 PM Page 12 of 26 about:srcdoc ID: f67e4efc A right circular cylinder has a volume of . If the height of the cylinder is 5, what is the radius of the cylinder ? A. 3 B. 4.5 C. 9 D. 40

1/21/24, 12 : 45 PM Page 15 of 26 about:srcdoc ID: a5663025 A system of equations consists of a quadratic equation and a linear equation. The equations in this system are graphed in the xy -plane above. How many solutions does this system have ? A. 0 B. 1 C. 2 D. 3

1/21/24, 12 : 45 PM Page 18 of 26 about:srcdoc ID: 8490cc45 The function is defined by . What is the y -intercept of the graph of in the xy -plane ? A. B. C. D.

1/21/24, 12 : 45 PM Page 21 of 26 about:srcdoc ID: e29586d5 Number of Contestants by Score and Day 5 out of 5 4 out of 5 3 out of 5 2 out of 5 1 out of 5 0 out of 5 Total Day 1 2 3 4 6 2 3 20 Day 2 2 3 5 5 4 1 20 Day 3 3 3 4 5 3 2 20 Total 7 9 13 16 9 6 60 The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above. No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days ?

1/21/24, 12 : 45 PM Page 22 of 26 about:srcdoc ID: 1ea09200 A sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied ? A. The 40 students who were surveyed B. All fourth-grade students at the school C. All students at the school D. All fourth-grade students in the county in which the school is located

1/21/24, 12 : 45 PM Page 23 of 26 about:srcdoc ID: 4c774b00 Ages of 20 Students Enrolled in a College Class Age Frequency 18 6 19 5 20 4 21 2 22 1 23 1 30 1 The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages ? A. mode < median < mean B. mode < mean < median C. median < mode < mean D. mean < mode < median

1/21/24, 12 : 45 PM Page 24 of 26 about:srcdoc ID: 85939da5 Texting behavior Talks on cell phone daily Does not talk on cell phone daily Total Light 110 146 256 Medium 139 164 303 Heavy 166 74 240 Total 415 384 799 In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. Based on the data from the study, an estimate of the percent of US teens who are heavy texters is 30% and the associated margin of error is 3%. Which of the following is a correct statement based on the given margin of error ? A. Approximately 3% of the teens in the study who are classified as heavy texters are not really heavy texters. B. It is not possible that the percent of all US teens who are heavy texters is less than 27%. C. The percent of all US teens who are heavy texters is 33%. D. It is doubtful that the percent of all US teens who are heavy texters is 35%.

1/21/24, 12 : 45 PM Page 25 of 26 about:srcdoc ID: 1adb39f0 The scatterplot shows the relationship between two variables, x and y . A line of best fit for the data is also shown. Which of the following is closest to the difference between the y -coordinate of the data point with and the y -value predicted by the line of best fit at ? A. 1 B. 2 C. 5 D. 12

1/21/24, 12 : 45 PM Page 26 of 26 about:srcdoc ID: 190be2fc Data set A consists of positive integers less than . The list shown gives of the integers from data set A. , , , , , , , , The mean of these integers is . If the mean of data set A is an integer that is greater than , what is the value of the largest integer from data set A ?