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449Number of Registered Votersin the United States in 2012, in ThousandsAge, in years18 to 24 25 to 44 45 to 64 65 to 74 75 andolder2,7753,3428,159 87Total14,76647,89657,79518,62014,080 153,157The table above shows the number of registered voters in 2012, in thousands, in four geographic regions and five agegroups. Based on the table, if a registered voter who was 18 to 44 years old in 2012 is chosen at random, which of thefollowing is closest to the probability that the registered voter was from the Midwest region?A) 0.10B) 0.25C) 0.40D) 0.75Unauthorized copying or reuse of any part of this page is illegal.41CO NTI N U E

44Gestation Period versus Life ExpectancyLife expectancy (years)1210D8BCA642010 15 20 25 30 35 40 45 50 55 60 65Gestation period (days)A curator at a wildlife society created the scatterplotabove to examine the relationship between the gestationperiod and life expectancy of 10 species of animals.10What is the life expectancy, in years, of the animalthat has the longest gestation period?A)3B)4C)8D) 10Unauthorized copying or reuse of any part of this page is illegal. Questions 10 and 11 refer to the followinginformation.4211Of the labeled points, which represents the animalfor which the ratio of life expectancy to gestationperiod is greatest?A) AB) BC) CD) D 12In the xy-plane, the graph of function f hasx-intercepts at 3, 1, and 1. Which of thefollowing could define f ?A) f (x ) (x 3)(x 1)(x 1)B) f (x ) (x 3)(x 1)2C) f (x ) (x 1)(x 1)(x 3)D) f (x ) (x 1)2 (x 3)CO NTI N U E

44The population of mosquitoes in a swamp isestimated over the course of twenty weeks, as shownin the table.Time 0,000Which of the following best describes therelationship between time and the estimatedpopulation of mosquitoes during the twenty weeks?A) Increasing linearB) Decreasing linearC) Exponential growthD) Exponential decayUnauthorized copying or reuse of any part of this page is illegal.134314 r 12 1,000 1 1,200 The expression above gives the amount of money, indollars, generated in a year by a 1,000 deposit in abank account that pays an annual interest rate of r %,compounded monthly. Which of the followingexpressions shows how much additional money isgenerated at an interest rate of 5% than at an interestrate of 3% ?12 5 3 A) 1,000 1 1,200 5 12 3 B) 1,000 1 1,200 C)12 5 1,000 1 1,200 12 3 1,000 1 1,200 1212 5 3 1,000 1 D) 1,000 1 1,200 1,200 CO NTI N U E

44Which of the following scatterplots shows arelationship that is appropriately modeled with theequation y ax b , where a is positive and b 02030xyD)2010O102030xUnauthorized copying or reuse of any part of this page is illegal.1544 Questions 16 and 17 refer to the followinginformation.Mr. Martinson is building a concrete patio in hisbackyard and deciding where to buy the materials andrent the tools needed for the project. The table belowshows the materials’ cost and daily rental costs for threedifferent stores.StoreMaterials’Cost, M(dollars)Rental cost ofwheelbarrow, W(dollars per day)ABC750600700152520Rental cost ofconcretemixer, K(dollars per day)658070The total cost, y, for buying the materials and renting thetools in terms of the number of days, x, is given byy M (W K ) x .16For what number of days, x, will the total cost ofbuying the materials and renting the tools fromStore B be less than or equal to the total cost ofbuying the materials and renting the tools fromStore A ?A) x 6B) x 6C) x 7.3D) x 7.3CO NTI N U E

44If the relationship between the total cost, y, of buyingthe materials and renting the tools at Store C and thenumber of days, x, for which the tools are rented isgraphed in the xy-plane, what does the slope of theline represent?A) The total cost of the projectB) The total cost of the materialsC) The total daily cost of the projectD) The total daily rental costs of the tools Unauthorized copying or reuse of any part of this page is illegal.174518Jim has identical drinking glasses each in the shape ofa right circular cylinder with internal diameter of3 inches. He pours milk from a gallon jug into eachglass until it is full. If the height of milk in each glassis about 6 inches, what is the largest number of fullmilk glasses that he can pour from one gallon ofmilk? (Note: There are 231 cubic inches in 1 gallon.)A) 2B) 4C) 5D) 619If 3p 2 1 , what is the least possible value of3p 2 ?A) 5B) 3C) 2D) 1CO NTI N U E

4421Biomass (tons)OC)Biomass (tons)1 2Time (years)21OD)1 2Time (years)21O1 2Time (years)Unauthorized copying or reuse of any part of this page is illegal.462.502.001.501.000.50dnd0.00wi1 2Time (years)20002010wooB)Biomass (tons)O3.00elsgeothermhyaldroelectric1Renewable Energy Consumptionbiofu2 Questions 21 and 22 refer to the followinginformation.Consumption (quadrillion Btu)A)Biomass (tons)The mass of living organisms in a lake is defined tobe the biomass of the lake. If the biomass in a lakedoubles each year, which of the following graphscould model the biomass in the lake as a function oftime? (Note: In each graph below, O represents(0, 0).).20Energy sourceThe bar graph above shows renewable energyconsumption in quadrillions of British thermal units(Btu) in the United States, by energy source, for severalenergy sources in the years 2000 and 2010.21In a scatterplot of this data, where renewable energyconsumption in the year 2000 is plotted along thex-axis and renewable energy consumption in the year2010 is plotted along the y-axis for each of the givenenergy sources, how many data points would beabove the line y x ?A) 1B) 2C) 3D) 4CO NTI N U E

44Of the following, which best approximates thepercent decrease in consumption of wood power inthe United States from 2000 to 2010 ?A)6%B) 11%C) 21%D) 26% Unauthorized copying or reuse of any part of this page is illegal.224723The tables below give the distribution of hightemperatures in degrees Fahrenheit ( F) for City Aand City B over the same 21 days in March.City ATemperature ( F) Frequency8037914782771761City BTemperature ( F) Frequency806793782774766Which of the following is true about the data shownfor these 21 days?A) The standard deviation of temperatures inCity A is larger.B) The standard deviation of temperatures inCity B is larger.C) The standard deviation of temperatures inCity A is the same as that of City B.D) The standard deviation of temperatures in thesecities cannot be calculated with the dataprovided.CO NTI N U E

44DBAIn the circle above, segment AB is a diameter. If theADB is 8π , what is the length of thelength of arc qradius of the circle?A)2B)4C)8D) 16Unauthorized copying or reuse of any part of this page is illegal.244825f (x ) 2x 3 6x 2 4xg (x ) x 2 3x 2The polynomials f (x ) and g (x ) are defined above.Which of the following polynomials is divisible by2x 3 ?A) h(x ) f (x ) g (x )B) p(x ) f (x ) 3g (x )C) r(x ) 2 f (x ) 3g (x )D) s(x ) 3 f (x ) 2g (x )26Let x and y be numbers such that y x y .Which of the following must be true?I. x yII. x 0III. y 0A)B)C)D)I onlyI and II onlyI and III onlyI, II, and IIICO NTI N U E

4427The relative housing cost for a US city is defined to be the ratioaverage housing cost for the city, expressed as anational average housing ,01510,000x005,000Relative housing cost(percent of national average cost)450Population density(people/square mile land area)The scatterplot above shows the relative housing cost and the population density for several large US cities in the year2005. The line of best fit is also shown and has equation y 0.0125x 61. Which of the following best explains howthe number 61 in the equation relates to the scatterplot?A) In 2005, the lowest housing cost in the United States was about 61 per month.B) In 2005, the lowest housing cost in the United States was about 61% of the highest housing cost.C) In 2005, even in cities with low population densities, housing costs were never below 61% of the national average.D) In 2005, even in cities with low population densities, housing costs were likely at least 61% of the national average.Unauthorized copying or reuse of any part of this page is illegal.49CO NTI N U E

44f (x ) (x 6)(x 4)Which of the following is an equivalent form of thefunction f above in which the minimum value of fappears as a constant or coefficient?A) f (x ) x 2 24B) f (x ) x 2 2x 24C) f (x ) (x 1)2 21D) f (x ) (x 1)2 2529If x is the average (arithmetic mean) of m and 9,y is the average of 2m and 15, and z is the averageof 3m and 18, what is the average of x, y, and z interms of m ?A) m 6B) m 7C) 2m 14D) 3m 21Unauthorized copying or reuse of any part of this page is illegal.285030y54321–5 –4 –3 –2 –1 –1–2–3–4–512The function f (x ) x 3 x 2 x 345x11is graphed in4the xy-plane above. If k is a constant such that theequation f (x ) k has three real solutions, which ofthe following could be the value of k ?A)2B)0C) 2D) 3CO NTI N U E

447Answer: 12DIRECTIONSFor questions 31–38, solve the problem andenter your answer in the grid, as describedbelow, on the answer sheet.1. Although not required, it is suggested thatyou write your answer in the boxes at the topof the columns to help you fill in the circlesaccurately. You will receive credit only if thecircles are filled in correctly.2. Mark no more than one circle in any column.3. No question has a negative answer.4. Some problems may have more than onecorrect answer. In such cases, grid only oneanswer.Writeanswerin boxes.7 / 12.123456789Grid inresult.2as 3.5 or 7/2. (If 3 1 / 2 is entered into the2 / 3/2 . 5.123456789/ /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9. 666Decimalpoint. 667/ // /. . . . . . .0 0 00 0 01 1 1 11 1 1 112 2 2 22 2 2 223 3 3 33 3 3 334 4 4 44 4 4 445 5 5 55 5 5 556 6 6 666 6 6 67 7 7 777 7 7 78 8 8 888 8 8 89 9 9 99 9 9 99Answer: 201 – either position is correctgrid, it will be interpreted as 31 , not 3 1 .)226. Decimal answers: If you obtain a decimalanswer with more digits than the grid canaccommodate, it may be either rounded ortruncated, but it must fill the entire grid.201/ /. . .0 0 01 1 1 12 2 2 23 3 3 3.Unauthorized copying or reuse of any part of this page is illegal.Fractionline2Acceptable ways to grid 3 are:5. Mixed numbers such as 3 1 must be gridded// /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9Answer: 2.551201/ /. . .0 0 01 1 1 12 2 2 23 3 3 3./ /. . .0 0 01 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89 9 9NOTE: Youmay start youranswers in anycolumn, spacepermitting.Columns youdon’t need touse should beleft blank.CO NTI N U E

44A partially filled pool contains 600 gallons of water.A hose is turned on, and water flows into the pool atthe rate of 8 gallons per minute. How many gallonsof water will be in the pool after 70 minutes?32The normal systolic blood pressure P, in millimetersof mercury, for an adult male x years old can bemodeled by the equation P x 220. According to2the model, for every increase of 1 year in age, by howmany millimeters of mercury will the normal systolicblood pressure for an adult male increase?Unauthorized copying or reuse of any part of this page is illegal.315233The pes, a Roman measure of length, isapproximately equal to 11.65 inches. It is alsoequivalent to 16 smaller Roman units called digits.Based on these relationships, 75 Roman digits isequivalent to how many feet, to the nearesthundredth? (12 inches 1 foot)34In a study of bat migration habits, 240 male bats and160 female bats have been tagged. If 100 more femalebats are tagged, how many more male bats must betagged so that3of the total number of bats in the5study are male?CO NTI N U E

441 2nv2The dynamic pressure q generated by a fluid movingwith velocity v can be found using the formulaabove, where n is the constant density of the fluid.An aeronautical engineer uses the formula to find thedynamic pressure of a fluid moving with velocity vand the same fluid moving with velocity 1.5v. Whatis the ratio of the dynamic pressure of the faster fluidto the dynamic pressure of the slower fluid?q Unauthorized copying or reuse of any part of this page is illegal.355336Bx OANote: Figure not drawn to scale.In the figure above, the circle has center O and hasAB (shown in bold) isradius 10. If the length of arc pbetween 5 and 6, what is one possible integervalue of x ?CO NTI N U E

44The

3. Figures provided in this test are drawn to scale unless otherwise indicated. 4. All figures lie in a plane unless otherwise indicated. 5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f(x) is a real number. r r r r w w w h h h h b c a b A w V wh A pr2 A bh V pr2h c2 a2 .