Test bank for college algebra with modeling and visualization 5th edition by rockswold

Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ Exam Name _ MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Select from the list of numbers all that belong to the specified set 1) Integers 14, 5, -6, 0, , A) 14, 0, B) 14, -6, 2) Natural numbers , 13, 7, -3, 0, 25 1) D) 14, -6, 0, C) 14, 25 B) 13, 0, 25 C) 13, 25 D) 13, 0, 3) Real numbers 7, -10, 0, C) 17, -10, 0, -6 4, 0 , -6 , B) 17, -10, 0, D) 17, -10, 0, , 4) 4) Rational numbers -2 , 0.3 7, 7, -21, 0, , 9, A) 7, , 0.3 C) 7, B) 7, 0, D) 7, -21, 0, , 9, 0.3 5) Irrational numbers -6 , 0.51 5, 7, -23, 0, , 9, A) 7, 3) 7, -10, 0, , A) 17, 2) A) 13, 17, , 9, 0.51 B) 5) 7, C) 7, -6 6) Rational numbers -2, 7.1 × 103 , 2, 2.7, 2.33, 0.371 6) A) -2, 7.1 × 103 , 2, 2.7, 2.33 C) -2, 7.1 × 103 , 2.7, 0.371, 2.33 B) D) 2, 2.33, 0.371 Full file at https://TestbankDirect.eu/ D) Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 7) Irrational numbers -1, 8.4 × 101 , 7, 4.1, 5, 0.87 7) A) 7, 5, 0.87 B) -1, 8.4 × 101 , 0.87, C) 7, 0.87 D) For the measured quantity, state the set of numbers that is most appropriate to describe it Choose from the natural numbers, integers, or rational numbers 8) Populations of cities 8) A) Integers B) Rational numbers C) Natural numbers 9) Hat sizes A) Natural numbers 9) B) Integers C) Rational numbers 10) Temperatures given in a winter weather forecast in Alaska A) Natural numbers B) Rational numbers 10) C) Integers 11) Temperatures given in a weather forecast in Cayembe, Equador (this town is on the equator) A) Integers B) Natural numbers C) Rational numbers 11) 12) Numbers of sales of cakes at a bakery A) Rational numbers B) Integers 12) C) Natural numbers 13) The lengths of randomly cut pieces of string (measured using a ruler) A) Natural numbers B) Rational numbers C) Integers 13) 14) The populations of armies of termites living in the walls of houses A) Rational numbers B) Natural numbers 14) C) Integers 15) The lengths of randomly cut pieces of string measured to the nearest inch A) Natural numbers B) Rational numbers C) Integers 15) 16) The average speeds of race cars for one lap at Wilmot Speedway A) Rational numbers B) Natural numbers 16) C) Integers 17) The number of cars sold in an average month at Bob's Auto Sales A) Natural numbers B) Rational numbers C) Integers Write the number in scientific notation 18) 4,200,000 A) 4.2 × 10-5 B) 4.2 × 10-6 17) 18) C) 4.2 × 105 D) 4.2 × 106 B) 9.77 × 10-4 C) 9.77 × 104 D) 9.77 × 10-5 B) 8.4 × 105 C) 8.4 × 106 D) 8.4 × 10-6 19) 0.000977 A) 9.77 × 10-3 19) 20) 840,000 A) 8.4 × 10-5 20) Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 21) 5900 A) 5.9 × 10-3 21) B) 5.9 × 102 C) 5.9 × 103 D) 5.9 × 10-2 B) × 10-8 C) × 10-6 D) × 10-7 B) 169.5 C) 339,000 D) 3,390,000 24) 1.995 × 106 A) 1,995,000 B) 19,950,000 C) 119.7 D) 199,500 25) 1.6102 × 106 A) 1,610,200 B) 161,020 C) 96.612 D) 16,102,000 26) 7.81 × 10-4 A) 0.00781 B) 0.000781 C) -781,000 D) 0.0000781 27) 3.969 × 10-5 A) -396,900 B) 0.0003969 C) 0.000003969 D) 0.00003969 28) 7.786 × 10-6 A) 0.000007786 B) -7,786,000 C) 0.0000007786 D) 0.00007786 22) 0.0000006 A) × 10-9 22) Write the number in standard form 23) 3.39 × 105 A) 33,900 29) 9.0147 × 10-7 A) 0.00000090147 23) 24) 25) 26) 27) 28) 29) C) -901,470,000 B) 0.000000090147 D) 0.0000090147 Use a calculator to approximate the expression Write your answer in scientific notation, and round to the nearest tenth as needed 30) 30) (2.2 × 105 )(1.6 × 107 ) A) 35 × 1012 31) B) 3.5 × 1012 C) 35 × 1035 D) 3.5 × 1035 5.5 × 106 0.0096 A) 6.1 × 108 32) (2.5 × 105 ) + (1.7 × 107 ) A) 1.9 × 10-7 31) B) 5.3 × 106 C) 5.7 × 106 D) 5.7 × 108 B) 1.7 × 107 C) 1.9 × 1012 D) 1.7 × 10-12 32) Use a calculator to evaluate the expression Round your answer to the nearest thousandth 33) 224 A) 6.773 33) B) 5.073 C) 8.373 Full file at https://TestbankDirect.eu/ D) 6.073 Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 34) 214 + π3 A) 16.677 35) |7 - π4 | A) -90.409 36) 34) B) 15.653 C) 13.182 D) 16.64 B) 92.421 C) 90.409 D) -92.42 35) 1.28 - 12.43 14.4 + 3.7 A) -0.354 37) 6.6 ( 3.92 ) - ( 5.2 ) + A) 101.986 36) B) -0.424 C) -0.616 D) -0.382 B) 22.986 C) 89.986 D) 95.986 37) Find the percent change if a quantity changes from P1 to P2 Round your answer to the nearest tenth if appropriate 38) P1 = $14, P2 = $50 A) -72 38) B) -257.1 C) 72 D) 257.1 39) P1 = 5.1, P2 = 2.4 A) 112.5 39) C) -52.9 B) 52.9 D) -112.5 Use the information given in the table to solve the problem 40) The table gives the Consumer Price Index for selected years Year 1960 1965 1970 1975 1980 CPI 28.9 38.6 46.4 65.7 85.3 What is the percent change (to the nearest tenth of a percent) in prices from 1965 to 1980? A) 123.3 % B) 221.4 % C) 119.8 % D) 121 % 40) 41) The table gives the Consumer Price Index for selected years Year 1960 1965 1970 1975 1980 CPI 29.8 39.2 46.9 53.8 85.8 What is the percent change (to the nearest tenth of a percent) in prices from 1960 to 1975? A) 84.7 % B) 90.5 % C) 80.5 % D) 81.7 % 41) 42) The table gives the Consumer Price Index for selected years Year 1960 1962 1964 1966 1968 CPI 29.5 37.1 48.4 55.5 84 Use the concept of an average or mean to estimate the CPI in 1961 A) 33.3 B) 34.8 C) 34.2 42) 43) The table gives the Consumer Price Index for selected years Year 1960 1962 1964 1966 1968 CPI 28.7 39.7 47.9 63.2 81.1 Use the concept of an average or mean to estimate the CPI in 1965 A) 56.3 B) 55.6 C) 54 Full file at https://TestbankDirect.eu/ D) 30.9 43) D) 58.7 Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 44) The table gives the value of a 1957 Chevy BelAire in #2 condition for selected years Year 1980 1982 1984 1986 1988 Value in dollars 8123 8483 9902 10,591 12,353 What is the percent change (to the nearest tenth of a percent) in the value of a 1957 Chevy BelAir in #2 condition from 1982 to 1986 A) 24.8 % B) 30.1 % C) 25.7 % D) 21.1 % 44) 45) The table gives the value of a 1957 Chevy BelAire in #2 condition for selected years Year 1980 1982 1984 1986 1988 Value in dollars 8307 8450 9932 10,613 12,741 Use the concept of an average or mean to estimate the value of a 1957 Chevy BelAire in #2 condition in 1983 A) $ 9161.87 B) $ 9220.13 C) $ 9181.00 D) $ 9191.00 45) 46) The table gives the value of a 1957 Chevy BelAire in #2 condition for selected years Year 1980 1982 1984 1986 1988 Value in dollars 8138 8470 9867 10,584 11,800 What is the percent change (to the nearest tenth of a percent) in the value of a 1957 Chevy BelAir in #2 condition from 1982 to 1988? A) 37.7 % B) 37.2 % C) 43.6 % D) 39.3 % 46) 47) The table gives the value of a 1957 Chevy BelAire in #2 condition for selected years Year 1980 1982 1984 1986 1988 Value in dollars 8354 8454 9887 10,550 11,597 Use the concept of an average or mean to estimate the value of a 1957 Chevy BelAire in #2 condition in 1985 A) $ 10,229.57 B) $ 10,222.73 C) $ 10,194.78 D) $ 10,218.50 47) Solve Write results using scientific notation 48) Assume that the volume of the earth is 3.0 x 1014 cubic meters and the volume of a bacterium is 2.4 x 10-16 cubic meters If the earth could be filled with bacteria, how many would it contain? A) 1.25 x 10-30 bacteria C) 1.25 x 10-31 bacteria B) 1.25 x 1031 bacteria D) 1.25 x 1030 bacteria 49) A computer can one calculation in 1.0 x 10-7 seconds How long would it take the computer to a trillion (1012) calculations? A) 1.0 x 1012 sec 48) C) 1.0 x 10-7 sec B) 1.0 x 105 sec 49) D) 1.0 x 106 sec 50) The national debt of a small country is $7,050,000,000 and the population is 2,365,000 What is the amount of debt per person? A) $2.98 x 106 B) $2.98 C) $2.98 x 103 D) $29.80 x 102 50) 51) A company produced 968,000 small appliances in one year and made a profit of $6,213,000 What was the profit on each appliance? A) $1.56 x 10-1 B) $6.42 x 10-1 C) $6.42 D) $1.56 x 101 51) Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 52) The earth is approximately 92,900,000 miles from the sun If mile = 1.61 x 10 m, what is the distance to the sun in meters? A) 5.7 x 10 -10 m B) 1.50 x 1010 m C) 1.50 x 1011 m D) 5.7 x 10 10 m 52) 53) The distance from the earth to the sun is 92,900,000 miles How long would it take a rocket, traveling at 2.9 x 10 miles per hour, to reach the sun? 53) A) 3.2 x 10 hr B) 3.2 x 10 hr C) 3.2 hr D) 3.2 x 10 hr 54) A light-year is the distance that light travels in one year Find the number of miles in a light -year if light travels 1.86 x 10 miles per second A) 5.9 x 10 miles B) 5.9 x 10 14 miles C) 5.9 x 10 12 miles D) 5.9 x 10 miles 55) The following equation gives the number of atoms in 360 g of sodium How many atoms are there? mole Na 6.022 x 10 23 atoms A = 360 g Na x x 23.0 g Na mole Na A) 9.43 x 1024 atoms C) 4.99 x 1026 atoms 55) B) 3.85 x 1024 atoms D) 9.42 x 1024 atoms Solve the problem 56) A comet has a nearly circular orbit around a star with a radius of 364 million miles and requires 7.18 earth years to complete one orbit Estimate the orbital speed of the comet in miles per hour Round to the nearest mile per hour A) 318,534,745 mph B) 36,362 mph C) 872,698 mph D) 319 mph 57) An oil spill of 4846 cubic centimeters is spilled onto a pond and spreads out in a circular shape having a diameter of 482 centimeters Approximate the thickness of the oil film to four decimal places A) 37.6531 cm B) 3.2003 cm C) 0.0266 cm D) 6.4005 cm Full file at https://TestbankDirect.eu/ 54) 56) 57) Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ Plot each number on a number line 58) -0.5, 0, 5, -4 -5 -4 -3 -2 -1 58) A) B) C) -5 -4 -3 -2 -1 -5 -4 -3 -2 -1 -5 -4 -3 -2 -1 -5 -4 -3 -2 -1 D) 59) 0.4, -0.2, -1, -2 59) -1 A) -2 -1 -2 -1 -2 -1 -2 -1 B) C) D) Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 60) 50, -250, 100, -300 -300 60) -200 -100 100 200 300 -300 -200 -100 100 200 300 -300 -200 -100 100 200 300 -300 -200 -100 100 200 300 -300 -200 -100 100 200 300 A) B) C) D) 61) -10, 30, 60, -40 -60 -40 -20 61) 20 40 60 A) B) -60 -40 -20 20 40 60 C) -60 -40 -20 20 40 60 -60 -40 -20 20 40 60 D) -60 -40 -20 20 40 60 Find the mean of the set of data Round to the nearest tenth 62) 10, 18, 6, 9, 7, 5, 4, 12, 10 A) 9.1 B) 8.9 62) C) 9.0 D) 10.8 63) 86, 41, 18, 48, 85, 57, 53, 82, 15 A) 44.4 B) 53.9 C) 60.6 D) 52.2 64) 13, 5, 11, 13, 13, 7, 11, 7, 7, 5, 11, 5, A) 9.0 B) 9.2 C) 9.8 D) 8.8 65) 91, 30, 57, 57, 30, 91, 15, 15, 15, 91, 15, 15, 57 A) 43.5 B) 42.4 C) 47.0 D) 44.5 63) 64) 65) 66) 228, 221, 211, 211, 211, 211, 221, 214, 214, 214, 221, 221 A) 217.4 B) 216.7 C) 216.1 D) 216.5 67) 0, 8, 9, 4, 4, 8, 9, 0, 0, 4, 8, A) 6.9 B) 5.4 D) 6.2 67) C) 5.2 Full file at https://TestbankDirect.eu/ 66) Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ Find the median of the set of data 68) 7, 9, 15, 24, 41, 45, 46 A) 24 68) B) 41 C) 27 D) 15 B) 51 C) 48 D) 62 70) 83, 59, 211, 141, 283, 245, 236 A) 180 B) 236 C) 211 D) 141 71) 33, 113, 259, 275, 308, 344 A) 259 B) 190.5 C) 267 D) 275 72) 4, 3, 26, 10, 29, 41, 38, 37 A) 29 B) 23.5 C) 27.5 D) 26 69) 19, 30, 30, 51, 62, 67, 78 A) 30 69) 70) 71) 72) 73) 46, 18, 7, 1, 29, 11, 26, 41, 40, 31 A) 29 B) 26 73) C) 25 D) 27.5 Find the distance in the xy-plane between the two points Round an approximate result to the nearest hundredth 74) 74) (16, 0) and (0, 12) A) 4.47 B) 40 C) D) 20 75) (4, 4) and (9, 16) A) B) 12 C) 3.46 D) 13 75) 76) (-4, -1) and (-8, -4) A) 12 B) -5 C) 2.24 D) 77) (-2, 1) and (2, -5) A) 6.93 B) 7.21 C) 24 D) 26 78) (- 6, 1) and (0, -17) A) 9.485 B) 18.97 C) D) 30 79) (4.3, 0.5) and (1.3, 3.5) A) 1.41 B) C) 4.24 D) 8.49 80) (6.1, -1.1) and (2.1, -9.1) A) B) 17.89 C) 8.94 D) 2.24 76) 77) 78) 79) 80) Find the midpoint of the line segment joining the two points 81) (7, 5) and (1, 4) A) 8, B) 6, C) 3, Full file at https://TestbankDirect.eu/ 81) D) 4, Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 82) (7, -9) and (0, 8) 82) A) 7, -17 17 B) , 2 C) , 2 D) 7, -1 B) 1, 3 15 C) - , 2 D) , 2 B) -13, C) - , 2 83) (-1, -6) and (2, 9) 83) A) -3, -15 84) (-9, 2) and (-4, -1) 13 , A) 2 85) 84) D) -5, 3 11 , and , 2 2 A) - 85) ,-1 B) 4, 16 C) 2, D) 64, 324 86) (5 7, - 13) and (- 7, 0) 13 A) 7, 87) (- 86) B) ( -7, 13) C) 14, - 3, 1) and (0, 10) - + 10 A) , 2 C) ( - 3, + 39 D) 7, - 13 87) B) 10) D) - , 1- 3+ 10 10 , Find the domain and range of the relation 88) {(-1,9), (5,-5), (-6,-9), (2,-3), (-8,-7)} A) D = {-7, -5, -9, -3, 9}; R = {-8, 5, -6, 2, -1} B) D = {-9, 2, -3, -1, 9}; R = {-8, -7, 5, -5, -6} C) D = {-8, -7, 5, -5, -6}; R = {-9, 2, -3, -1, 9} D) D = {-8, 5, -6, 2, -1}; R = {-7, -5, -9, -3, 9} 88) 89) 89) {(-6,-5), (2,8), (6,-1), (6,2)} A) D = {8, -1, -5, 2}; R = {2, 6, -6} C) D = {2, 6, -6}; R = {8, -1, -5, 2} B) D = {2, 6, -6, 6}; R = {8, -1, -5, 2} D) D = {2, 6, -6, -6}; R = {8, -1, -5, 2} 90) {(10,-6), (10,6), (12,5), (-7,2), (-4,4)} A) D = {-7, -4, 10, -4, 12}; R = {2, 6, 4, 5, -6} C) D = {-7, -7, 10, -4, 12}; R = {2, 6, 4, 5, -6} B) D = {2, 6, 4, 5, -6}; R = {-7, -7, 10, -4, 12} D) D = {-7, 10, -4, 12}; R = {2, 6, 4, 5, -6} 91) {(7,1), (-3,-8), (10,3), (10,7)} A) D = {1, 3, -8, 7}; R = {7, 10, -3} C) D = {7, 10, -3, 10}; R = {1, 3, -8, 7} B) D = {7, 10, -3}; R = {1, 3, -8, 7} D) D = {7, 10, -3, -10}; R = {1, 3, -8, 7} 90) 91) 10 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 291) 291) y -8 -6 -4 -2 x -2 -4 -6 -8 A) increasing: [0, 3]; decreasing: (-∞, 0] ∪ [3, ∞) B) increasing: [2, ∞); decreasing: (-∞, 2] C) increasing: [0, ∞); decreasing: (-∞, 0] D) increasing: (-∞, 1] ∪ [2, ∞); decreasing: [1, 2] 292) 292) y -4 -3 -2 -1 x -1 -2 -3 -4 A) increasing: [0, ∞); decreasing: (-∞, 0] B) increasing: [-1, 1]; decreasing: (-∞, -1] ∪ [1, ∞) C) increasing: [-1, ∞); decreasing: (-∞, -1] D) increasing: [-1, 0] ∪ [1, ∞); decreasing: (-∞, -1] ∪ [0, 1] Identify where f is increasing and where f is decreasing 293) f(x) = A) increasing: (-∞, ∞); decreasing: never C) increasing: never; decreasing: [5, ∞) 293) B) neither D) increasing: [5, ∞); decreasing: never 294) f(x) = 4x + A) increasing: [3, ∞); decreasing: (-∞, 3] C) increasing: never; decreasing: (-∞, ∞) B) neither D) increasing: (-∞, ∞); decreasing: never 295) f(x) = -5x - A) neither C) increasing: never; decreasing: (-∞, ∞) B) increasing: (-∞, ∞); decreasing: never D) increasing: [-2, ∞); decreasing: (-∞, -2] 294) 295) 71 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 296) f(x) = x2 + A) increasing: (-∞, ∞); decreasing: never C) increasing: (-∞, 0]; decreasing [0, ∞) 296) B) increasing: [3, ∞); decreasing: never D) increasing: [0, ∞); decreasing (-∞, 0] 297) f(x) = 6x - x2 A) increasing: [6, ∞); decreasing (-∞, 6] C) increasing: (-∞, 3]; decreasing [3, ∞) 297) B) increasing: [3, ∞); decreasing (-∞, 3] D) increasing: (-∞, 6]; decreasing [6, ∞) 298) f(x) = x2 + 6x A) increasing: [-3, ∞); decreasing (-∞, -3] C) increasing: (-∞, 6]; decreasing [6, ∞) B) increasing: (-∞, -3]; decreasing [-3, ∞) D) increasing: [6, ∞); decreasing (-∞, 6] 299) f(x) = x - A) increasing: never; decreasing: [4, ∞) C) increasing: [4, ∞); decreasing: never B) increasing: [-4, ∞); decreasing: never D) increasing: never; decreasing: [-4, ∞) 300) f(x) = - x + A) increasing: [1, ∞); decreasing: never C) increasing: never; decreasing: [-1, ∞) B) increasing: never; decreasing: [1, ∞) D) increasing: [-1, ∞); decreasing: never 301) f(x) = x - A) increasing: [4, ∞); decreasing: (-∞, 4] C) increasing: (-∞, 4]; decreasing: [4, ∞) B) increasing: (-∞, -4]; decreasing: [-4, ∞) D) increasing: [-4, ∞); decreasing: (-∞, -4] 302) f(x) = x + A) increasing: [-9, ∞); decreasing: (-∞, -9] C) increasing: (-∞, -9]; decreasing: [-9, ∞) B) increasing: [9, ∞); decreasing: (-∞, 9] D) increasing: (-∞, 9]; decreasing: [9, ∞) 298) 299) 300) 301) 302) Identify where f is increasing or where f is decreasing, as indicated Round your answer to two decimal places when appropriate 303) 303) f(x) = -2x2 + 8x; increasing A) [-2, ∞) B) [2, ∞) C) (-∞, -2] D) (-∞, 2] 304) f(x) = -4x2 + 8x + 9; decreasing B) (-∞, -1] A) [-1, ∞) C) (-∞,1] D) [1, ∞) 305) f(x) = 7x - ; increasing A) (-∞, ∞) C) [-0.14, 0.14] D) [0.14, ∞) 304) 305) B) (-∞, 0.14] 306) f(x) = x3 - 8x - 3; decreasing A) [-2.83, 2.83] C) (-∞, -1.63] ∪ [1.63, ∞) B) (-∞, -1.63] D) [-1.63, 1.63] 307) f(x) = x4 - 11x2 + 24; decreasing A) (-2.35, 0) ∪ (2.35, ∞) C) (-2.83, -1.73) ∪ (1.73, 2.83) B) (-∞, -2.83) ∪ (-1.73, 1.73) ∪ (2.83, ∞) D) (-∞, -2.35) ∪ (0, 2.35) 306) 307) 72 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ Use the graph and formula for f(x) to find the average rates of change of f from -4 to -1 and from to 308) f(x) = 308) y -5 -4 -3 -2 -1 -1 x -2 -3 -4 -5 B) -1; -1 A) 1; C) 0; D) 1; -1 309) f(x) = 4x - 309) y -5 -4 -3 -2 -1 -1 x -2 -3 -4 -5 A) -4; B) 3; C) 4; D) -4; -4 310) f(x) = -3x + 310) y -5 -4 -3 -2 -1 -1 x -2 -3 -4 -5 A) -3; -3 B) -3; C) 3; 73 Full file at https://TestbankDirect.eu/ D) 3; -3 Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 311) f(x) = 0.4x2 - 311) y -5 -4 -3 -2 -1 -1 x -2 -3 -4 -5 B) -2; A) 2; C) -2; -2 D) 2; -2 312) y = -0.4x2 + 312) -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 A) 2; y x B) -2; -2 C) -2; D) 2; -2 Compute the average rate of change of f from x to x Round your answer to two decimal places when appropriate Interpret your result graphically 313) f(x) = 3x + 1, x1 = -5 and x2 = -2 313) A) 4; the slope of the line passing through (-5, f(-5)) and (-2, f(-2)) is B) 5; the slope of the line passing through (-5, f(-5)) and (-2, f(-2)) is C) 3; the slope of the line passing through (-5, f(-5)) and (-2, f(-2)) is D) 2; the slope of the line passing through (-5, f(-5)) and (-2, f(-2)) is 314) f(x) = -3x + 3, x1 = -6 and x2 = -3 314) A) -4; the slope of the line passing through (-6, f(-6)) and (-3, f(-3)) is -4 B) 2; the slope of the line passing through (-6, f(-6)) and (-3, f(-3)) is C) 3; the slope of the line passing through (-6, f(-6)) and (-3, f(-3)) is D) -3; the slope of the line passing through (-6, f(-6)) and (-3, f(-3)) is -3 74 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 315) f(x) = x3 - 4x, x1 = and x2 = A) -24; the slope of the line passing through (2, f(2)) and (4, f(4)) is -24 B) -8; the slope of the line passing through (2, f(2)) and (4, f(4)) is -8 C) 8; the slope of the line passing through (2, f(2)) and (4, f(4)) is D) 24; the slope of the line passing through (2, f(2)) and (4, f(4)) is 24 315) 2x + 1, x1 = and x2 = A) -0.62; the slope of the line passing through (1, f(1)) and (3, f(3)) is -0.62 B) 0.62; the slope of the line passing through (1, f(1)) and (3, f(3)) is 0.62 C) -0.46; the slope of the line passing through (1, f(1)) and (3, f(3)) is -0.46 D) 0.46; the slope of the line passing through (1, f(1)) and (3, f(3)) is 0.46 316) f(x) = Complete the following for the given f(x) (i) Find f(x + h) (ii) Find the difference quotient of f and simplify 317) f(x) = A) (i) B) (i) (ii) (ii) 316) 317) C) (i) h + (ii) D) (i) h + (ii) h 318) f(x) = -9x A) (i) -9x + 9h (ii) -9 B) (i) -9x + 9h (ii) C) (i) -9x - 9h (ii) -9 D) (i) -9x - 9h (ii) 319) f(x) = 4x - A) (i) 4x + 4h - (ii) -4 B) (i) 4x + h - (ii) C) (i) 4x + 4h - (ii) D) (i) 4x + 4h - (ii) 318) 319) 320) f(x) = x2 + 2x A) (i) x2 + h + 2x + 2h 320) B) (i) x2 + 2xh + h + 2x + 2h (ii) h + C) (i) x2 + 2xh + h + 2x + h (ii) 2x + h + (ii) 2xh + h + 2x D) (i) x2 + 2xh + h + 2x + 2h (ii) 2x + h + 321) f(x) = 9x2 + 15x - A) (i) 9x2 + 9xh + 9h + 15x + 15h - 321) B) (i) 9x2 + 18xh + 9h + 15x + 15h - (ii) 9x + + 18h (ii) 18x + 9h + 15 C) (i) 9x2 + 18xh + 9h + 15x - (ii) 18x + 15 D) (i) 9x2 + 18xh + 9h + 15x + 15h - (ii) 18xh + 15h + 9h Solve the problem 322) The profit (in millions of dollars) for Allied Manufacturing can be approximated by f(x) = 0.329x - 509.2, where x is the year 1989 ≤ x ≤ 2009 Approximate the average rate of change over a 3-year period Round your answer to three decimal places when appropriate A) 0.487 million dollars B) 0.987 million dollars C) 2.557 million dollars D) 2.997 million dollars 75 Full file at https://TestbankDirect.eu/ 322) Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file at https://TestbankDirect.eu/ 323) The profit (in millions of dollars) for Allied Manufacturing can be approximated by f(x) = -0.26x + 910.2, where x is the year 1989 ≤ x ≤ 2009 Approximate the average rate of change over a 3-year period Round your answer to three decimal places when appropriate A) -0.99 million dollars B) -0.78 million dollars C) 0.03 million dollars D) -6.39 million dollars 323) 324) The following table gives the outside temperature in degrees Fahrenheit on a winter day in Death Valley, California 324) Time 7:00 am 8:00 am 9:00 am 10:00 am 11:00 am Temperature (°F) 76 77 83 89 93 Calculate the average rate of change in temperature between 8:00 am and 11:00 am Round your answer to two decimal places when appropriate A) 6.36°F B) 4.26°F C) 5.33°F D) 5.64°F 325) The distance D in feet that an object has fallen after t seconds is given by D(t) = 16t2 (i) Evaluate D(3) and D(4) (ii) Calculate the average rate of change of D from to Interpret the result A) (i) 48, 64 (ii) 112; the object's average speed from to seconds is 112 ft/sec B) (i) 144, 256 (ii) 16; the object's average speed from to seconds is 16 ft/sec C) (i) 48, 64 (ii) 16; the object's average speed from to seconds is 16 ft/sec D) (i) 144, 256 (ii) 112; the object's average speed from to seconds is 112 ft/sec 325) 326) Let the number of gallons G of water drained from a pool after t hours be given by G(t) = 4375 - 175t for ≤ t ≤ 25 (i) Find G(t + h) (ii) Find the difference quotient Interpret your result A) (i) 4375 - 175t + 175h (ii) -175; the pool is being emptied at a constant rate of 175 gal/hr B) (i) 4375 - 175t + h (ii) 1; the pool is being emptied at a constant rate of gal/hr C) (i) 4375 - 175t + 175h (ii) 175; the pool is being emptied at a constant rate of 175 gal/hr D) (i) 4375 - 175t - 175h (ii) -175; the pool is being emptied at a constant rate of 175 gal/hr 326) 76 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 1) D 2) C 3) A 4) D 5) D 6) C 7) D 8) C 9) C 10) C 11) B 12) C 13) B 14) B 15) A 16) A 17) A 18) D 19) B 20) B 21) C 22) D 23) C 24) A 25) A 26) B 27) D 28) A 29) A 30) B 31) D 32) B 33) D 34) B 35) C 36) C 37) D 38) D 39) C 40) D 41) C 42) A 43) B 44) A 45) D 46) D 47) D 48) D 49) B 50) C 77 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 51) C 52) C 53) B 54) C 55) A 56) B 57) C 58) B 59) B 60) C 61) C 62) C 63) B 64) D 65) D 66) D 67) C 68) A 69) B 70) C 71) C 72) C 73) D 74) D 75) D 76) D 77) B 78) B 79) C 80) C 81) D 82) C 83) D 84) A 85) C 86) D 87) A 88) D 89) C 90) D 91) B 92) B 93) C 94) D 95) A 96) A 97) A 98) A 99) C 100) B 78 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 101) 102) 103) 104) 105) 106) 107) D C D A C D Answers may vary A possible answer follows 1400 1200 1000 800 600 400 200 1990 1991 1992 1993 108) Answers may vary A possible answer follows 2400 2000 1600 1200 800 400 79 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 109) Answers may vary The following is a possible answer 30.0 25.0 20.0 15.0 10.0 1980 1981 1982 1983 1984 1985 110) Answers may vary A possible answer follows 9.0 6.0 3.0 1980 1982 1984 1986 1988 1990 1992 80 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 111) Answers may vary A possible answer follows 18.00 14.00 10.00 6.00 2.00 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) 124) 125) 126) 127) 128) 129) 130) 131) 132) 133) 134) 135) 136) 137) 138) 139) 140) 141) 142) 143) Nov Dec Jan Feb Mar C A D D B C A B D C C A A C C C C A A D C B D A D B A A B D B B 81 Full file at https://TestbankDirect.eu/ April May Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 144) 145) 146) 147) 148) 149) 150) 151) 152) 153) 154) 155) 156) 157) 158) 159) 160) 161) 162) 163) 164) 165) 166) 167) 168) 169) 170) 171) 172) 173) 174) 175) 176) 177) 178) 179) 180) 181) 182) 183) 184) 185) 186) 187) 188) 189) 190) 191) 192) 193) D B D B D D A B B D A B D B B B D B C A C D C B D C D B C C D D B A B C B B A D B B B D B D B D B D 82 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 194) 195) 196) 197) 198) 199) 200) 201) 202) 203) 204) 205) 206) 207) 208) 209) 210) 211) 212) 213) 214) 215) 216) 217) 218) 219) 220) 221) 222) 223) 224) 225) 226) 227) 228) 229) 230) 231) 232) 233) 234) 235) 236) 237) 238) 239) 240) 241) 242) 243) A C C B B D B B C D A C A B B B A B A A A A A B D C B A C D C B B B B C C C A A D C B C C C C D C C 83 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 244) 245) 246) 247) 248) 249) 250) 251) 252) 253) 254) 255) 256) 257) 258) 259) 260) 261) 262) 263) 264) 265) 266) 267) 268) 269) 270) 271) 272) 273) 274) 275) 276) 277) 278) 279) 280) 281) 282) 283) 284) 285) 286) 287) 288) 289) 290) 291) 292) 293) B B B B A D D D D D D B B A D C D D D A A D C D D C B D B A C D A D D D B D A A A D B C C C C A D B 84 Full file at https://TestbankDirect.eu/ Test Bank for College Algebra with Modeling and Visualization 5th Edition by Rockswol Full file atKey https://TestbankDirect.eu/ Answer Testname: UNTITLED1 294) 295) 296) 297) 298) 299) 300) 301) 302) 303) 304) 305) 306) 307) 308) 309) 310) 311) 312) 313) 314) 315) 316) 317) 318) 319) 320) 321) 322) 323) 324) 325) 326) D C D C A C C A A D D D D D C C A B D C D D D A C C D B B B C D D 85 Full file at https://TestbankDirect.eu/