2. Interpreting linear functions.docx

Part II Interpreting linear functions1.The expression 1.08s+1.02b predict the end of year value of a financial portfolio where s is the value of stocks and b is the value of bonds in the portfolio at the beginning of the year.What is the predicted end-of-year value of a portfolio that begins the year with $200 in the stocks and $100 in bonds? $Correct answer: 318 Difficulty level: 1 Tag: Data collection and conclusions2.The graph above shows the results of a controlled experiment designed by a scientist to determine the effect of magnetic field strength on the growth of sunflower plants. 500 young sunflower plants were randomly assigned to the control or experimental group. In the control group, the scientist grew 250 sunflower plants under normal local geo-magnetic field conditions (30 microteslas). In the experimental group, the scientist grew 250 sunflower plants identically except under a lower geomagnetic field (20 microteslas). Based on the results of this experiment, which conclusion is NOT valid?A. Sunflower plants grown under lower magnetic field conditions were more likely to weigh more than sunflower plants grown under normal magnetic field conditions.B. There is evidence of an association between the strength of magnetic field and height in sunflower plants.C. Sunflower plants grown under lower magnetic field conditions were more likely to be taller than sunflower plants grown under normal magnetic field conditions.D. Members of the control group were more likely to grow to less than100 inches than members of the experimental group.Correct answer: A Difficulty level: 2 Tag: Data collection and conclusions3.A researcher wants to conduct a survey to gauge United States (U.S.) voters opinions about the U.S. Congress. Which of the following should NOT be a component of this survey?A. The researcher collects data from the survey takers.B. The researcher analyzed data from the survey takers.C. The researcher distributes the survey to 10,1000 randomly selected U.S. citizens aged 18 and older.D. The researcher distributes the survey to 10,000 residents of a Washington D.C. neighborhood.Correct answer: D Difficulty level: 2 Tag: Data collection and conclusions4.A scientist wants to collect data about the effects of gravity on the growth of soybean plants. To test her hypothesis that soybeans grow better in a zero-gravity setting, she randomly assigns the plants into one of two groups. The first group is grown in typical soybean growing conditions in a greenhouse on earth, and the second group is grown in a zero-gravity, yet otherwise identical greenhouse in a space station. Which of the following is the best description of the research design for this study?A. Controlled experimentB. Observational studyC. Sample surveyD. None of the aboveCorrect answer: A Difficulty level: 2 Tag: Data collection and conclusions5.A researcher representing a city government wants to measure public opinion about recycling by asking 1,000 randomly selected residents a series of questions on the subject. Which of the following is the best description of the research design for this study?A. Observational studyB. Sample surveyC. Controlled experimentD. None of the aboveCorrect answer: B Difficulty level: 2 Tag: Data collection and conclusions6.In order to determine whether children who have just watched cartoons will perform better on cognitive tasks than children who have not just watched cartoons, researchers randomly divided 60 preschoolers into three groups. For nine minutes, one group watched a rapid-paced cartoon, one group watched a slower-paced educational program, and one group colored. They then administered standardized tests to determine the immediate impact of the childrens previous nine minutes of activity. Which of the following is the best description of this type of research design?A. An observational study, a study in which investigators observe subjects and measure variables of interest without assigning treatments to the subjects.B. A controlled experiment, a study in which an investigator separates subjects into a control group that does not receive a treatment and an experimental group that receives a treatment, and then observes the effect of the treatment on the experimental group.C. A sample survey, a study that obtains data from a subset of a population, usually through a questionnaire or interview, in order to estimate population attributes.D. None of the aboveCorrect answer: B Difficulty level: 2 Tag: Data collection and conclusions7.A player at point A passes a ball to a player at point B. What is the distance, in yards, between point A and point B? ( Round your answer to the nearest tenth of a yard.)Correct answer: 45.5 Difficulty level: 2 Tag: Right triangle word problems8.Wanahtons rectangular baking sheet is 912 inches (in) by 13 in. To the nearest inch, what is the longest breadstick Wanahton could bake on his baking sheet?A. 13 inB. 16 inC. 124 in D. 259 inCorrect answer: B Difficulty level: 2 Tag: Right triangle word problems9.Due to weather, a barge captain decides to reach her destination in two legs: one due north and one due west. On a direct route, her destination is about 1,830 miles (mi) away; see the figure above. If after traveling 605 mi due north the captain determines it is time to head due west, how many more miles are left in the trip? (Round your answer to the nearest mile.)Correct answer: 1727 Difficulty level: 2 Tag: Right triangle word problems10.Abby is buying a widescreen TV that she will hang on the wall between two windows. The windows are 36 inches apart, and wide screen TVs are approximately twice as wide as they are tall. Of the following, which is the longest that the diagonal of a widescreen TV can measure and still fit between the windows?A. 32 inchesB. 42 inchesC. 55 inchesD. 60 inchesCorrect answer: A Difficulty level: 2 Tag: Right triangle word problems1811.Bilal was assembling a set of bunkbeds and wanted to make sure the support posts were perpendicular to the floor. He measured that the posts were 165 centimeters (cm) tall and 220 cm apart. How long should the diagonal measurement be if the support posts are perpendicular to the floor?A. 75cmB. 130cmC. 275cmD. 385cmCorrect answer: C Difficulty level: 2 Tag: Polynomial factors and graphs12. Px=2x3-18xGiven the polynomial function P defined above, what are its zeros?A. -9, -6, 2, 3B. -9, 0, 2C. -3.3D. -3,0,3Correct answer: D Difficulty level: 2 Tag: Polynomial factors and graphs13.Which of the following gunctions could represent the graph at left in the xy-plane, where y=P(x)?A. Px=x2+6x+8B. Px=x3+6x2+8xC. Px=x2-6x+8D. Px=x3-6x2+8xCorrect answer: D Difficulty level: 2 Tag: Polynomial factors and graphs14. A polynomial has zeros at -9, 2, and 0. Which of the following could be the polynomial?A. x2-7x-18B. x3+7x2-18xC. x3+8x2-11x-18D. x3+6x2-5x+18Correct answer: B Difficulty level: 2 Tag: Polynomial factors and graphs15. x-7x+52x-3Given the polynomial above, what are its zeros?A. -7,5, -3B. 7, -5, 3C. -7, 5, - 32D. 7, -5, 32Correct answer: D Difficulty level: 2 Tag: Polynomial factors and graphs16. 2(x+55)(x-17)Given the polynomial above, what are its zeros?A. x=-55 and x=17B. x=-55, x=-2, and x=17C. x=-17 and x=55D. x=-17, x=2, and x=55Correct answer: A Difficulty level: 2 Tag: Polynomial factors and graphs17. 0.2B+ 0.1S = CRhia is using the above equation to investigate the carbon footprint, C, in kilograms of carbon dioxide (CO2) emissions, for her morning commute, during which S miles are by subway and B miles are by bus. How many kilograms of CO2 per mile does the bus portion contribute to Rhias carbon footprint?Correct answer: 0.2 Difficulty level: 2 18. V=2.5(6.4t)Salma is filling her water jugs with spring water at the supermarket. The above equation gives the empty space in her jugs, V, in US gallons, after t minutes at a constant fill rate. How many minutes will it take to fill the jugs?Correct answer: 6.4 Difficulty level: 2 19. T=0.25q+87Manons statistics professor puts a bonus question on every test, which adds 0.25 points to a students overall grade at the end of the term. The above equation gives Manons current overall grade, T, after taking into account q extra credit questions answered correctly. What does the 87 mean in this equation?A. Manon must get an 87 or above to pass.B. Manons average is an 87 before adding the extra credit.C. After adding in her extra credit, Manons average is an 87.D. Manons professor gave 87 opportunities for extra credit this term.Correct answer: B Difficulty level: 2 20. T=10m+40Tim decides to cook a steak. The interior temperature, T, of the steak, in degrees Fahrenheit(), after cooking for m minutes is given in the equation above. What does the 10 mean in the equation?A. The interior temperature is 10when Tim starts cooking the steak.B. The interior temperature of the steak increases by 10 for every minute it is cooked.C. The interior temperature of the steak decreases by 10 for every minute it is cooked.D. The interior temperature of the steak will increase a total of 10 while being cooked.Correct answer: B Difficulty level: 2 21. 5.5B+4R=28The above equation models the cost if Amit picks B pounds of blueberries and R pounds of raspberries at a farm where blueberries cost $ 5.50 per pound and raspberries cost $ 4.00 per pound. According to the equation, how much does Amit spend in total on both types of berries?A. $9.50B. $22.00C. $28.00D. $56.00Correct answer: C Difficulty level: 2 22. g=15-m32If Vera starts with a full tank of gas, the number of gallons of gas, g, left in the tank after driving m mile is given by the equation above. When full, how many gallons of gas does Veras tank hold?A. 15 gallonsB. 17 gallonsC. 30 gallonsD. 32 gallonsCorrect answer: A Difficulty level: 323.Officials project that between 2010 and 2050, the Sub-Saharan African population will drastically change. The model below gives the projection of the population, P, in thousands, with respect to time, t ( provided that 2010 is when t = 0). P=175+112t What does the 175 mean in the equation?A. In 2010, the population of Sub-Saharan African was 175 thousand.B. In 2050, the population of Sub-Saharan African will be 175 thousand.C. Between 2010 and 2050, the population of Sub-Saharan African will increase by 175 thousand.D. Between 2010 and 2050, the population of Sub-Saharan African will decrease by 175 thousand.Correct answer: A Difficulty level: 324. S=537.5-1.25pAn artist is carving chess pieces from a large piece of marble. After carving p chess pieces, there are S pounds of uncarved marble left. As the number of chess pieces carved increases, what happens to the weight of the uncarved marble?A. There are 125 pounds left.B. There are 537.5 pounds left.C. The weight decreases.D. The weight increases.Correct answer: C Difficulty level: 325. W=-12m+16Henrys water bottle is leaking at a constant rate. The amount of water, W, in ounces, that is left in the water bottle after leaking for m minutes is given by the equation above. What does the -12 mean in the equation?A. The water bottle loses 2 ounces of water per minute.B. The water bottle loses 12 an ounces of water per minute.C. The water bottle has 12 an ounces of water in it at the start.D. 12 of the water has leaked from the water bottle in one minte. Correct answer: B Difficulty level: 326. P=23+10(h-1)People start waiting in the line for the release of the newest cell phone at 5 a.m. The equation below gives the number of people, P, in line between the hours, h, of 6 a.m. and 11 a.m., when the doors open. Assume that 6 a.m. is when time h=1. What does the 23 mean in the equation above?A. There are 23 people in line at 6 a.m.B. After 10 hours, a total of 23 people will be in line. C. Every hour between 5 a.m. and 11 a.m., 23 more people get in line.D. Every hour between 6 a.m. and 11 a.m., 23 more people get in line.Correct answer: A Difficulty level: 327. S=40,000+500cCaden started a new job selling dental chairs. He earns a base salary plus a commission for every chair he sells. The equation above gives Cadens annual salary, S, in dollars, after selling c dental chairs. Based on the equation above, what is Cadens base salary?A. $39,500B. $40,000C. $40,500D. $50,000Correct answer: B Difficulty level: 228.Anthropologists have noticed that they can predict the height of a human being based on the length of their femur. The relationship between the persons height, H, in centimeters, and length of the femur, f, in centimeters, can be modeled by the equation below. H=2.72f+42.12 One anthropologist found the femurs of two different people. One femur measured 22 centimeters and the other femur measured 23 centimeters. What is the difference in their heights?A. 1 centimeterB. 2.72 centimetersC. 27.2 centimetersD. 42.12 centimetersCorrect answer: B Difficulty level: 329. d=1.06(212-t)A spacecraft heading for Pluto will take pictures of several other planets on its way. The above equation gives the distance, d, in millions of kilometers, of the craft from its first photo opportunity with Mars in terms of the time, t, in days. What is the meaning of the 212 in this equation?A. The spacecraft travels 212 kilometers per day.B. It will take the spacecraft 212 days to reach the Mars photo opportunity.C. The spacecraft begins its journey 212 kilometers from the Mars photo opportunity.D. After 212 days, the spacecraft will be within 1.06 kilometers of the Mars photo opportunity.Correct answer: B Difficulty level: 330. 35A+28P=250Vera is hiring entertainers for her charity event. She is using the equation above to determine the number of hours, A and P, to hire a caricature artist and a face painter for, respectively, with a total budgeted cost of $250. The caricature artist charges $35 per hour and the face painter charges $ 28 per hour. What is the meaning of the 35A in this equation?A. The caricature artist charges 35A dollars per hour.B. The caricature artist works for a minimum of 35A hours in a week.C. For the first 35 hours each week, the caricature artist makes A dollars.D. The caricature artist charges a total of 35A dollars for A hours worked.Correct answer: D Difficulty level: 331. P=100h-2,000It costs $2,000 a month for Mia to rent space to run her law firm. She charges $100 per hour for legal advice. The equation above gives Mias profit, P, per month, after working h hour. How many hours does Mia have to work before she starts to make money each month?A. 20 hoursB. 80hoursOC. 100hoursD. 200hoursCorrect answer: A Difficulty level: 332. C=1.5b+67.5The total cost, C, in dollars, to produce b books is given by the equation below. What is the meaning of 1.5 in the equation?A. 1.5 books will cost $67.50 to produce.B. It costs an extra $1.50 for each book produced.C. If you produce one book, you total cost will be $1.50D. There is a flat fee of $1.50 to produce any number of books.Correct answer: B Difficulty level: 433. B=0.55AJing is making homemade peanut butter. The equation above shows the amount of peanut butter yielded, B, in cups, for A cups of peanuts. What percentage of the volume of peanuts is lost when processing them into peanut butter?A. 0.55%B. 0.45%C. 55%D. 45%Correct answer: D Difficulty level: 434. P=0.7cA store is having a sale on every item purchased. Irina decides to take advantage of the sale and purchases a sweater. The equation that gives the after-sale price, P, of Irinas sweater with an original cost, c, is shown above. What percent off the original cost did Original cost did Irina save?A. 3%B. 7%C. 30%D. 70%Correct answer: C Difficulty level: 435. T=1200-0.06cA print shop copies and prints documents in large volume for its c