7Systems of linear inequalities word probWord文档格式.docx

1、for each speaker and$42for each floodlight. Which of the following combinations meets Anouks requirements?A. 40 speakers and 30 floodlightsB. 12 speakers and 54 floodlightsC. 26 speakers and 13 floodlightsD. 38 speakers and 22 floodlightsCORRECT ANSWER: C DIFFICULTY LEVEL: 22. In order to keep a mal

2、functioning satellite from falling into the earth, space agency officials decide to use a powerful rocket. At the time the rocket is attached, the satellite will be traveling with an initial velocity, , and for every second that the rocket fires, it will add approximately 180 meters per second, to t

3、his velocity. In order to ensure safety on earth, the velocity must be increased to at least 3,800 . Also, the rocket can fire for no more than 4 seconds. For the initial velocity of the satellite, , which of the following systems of inequalities best models this situation, where t is time, in secon

4、ds, after the rocket is first fired?A. +180t3,800, t4B. +180t3,800, 180t4C. +3,800180t, t4D. +3,800180t, 180t4 A DIFFICULTY LEVEL:3. Vijay needs to take a taxi, which costs a flat fee of 3 dollars, plus an additional 4 dollars per mile. If Vijay has a dollars with him, which inequality shows the num

5、ber of miles, m, he can afford to travel in the taxi?A. 0m4a3C. 4a3mCORRECT ANSWER : B DIFFICULTY LEVEL :4. The change machine at an arcade gives change in the form of 25-cent coins （quarters） and one-dollar bills. The manager of the arcade would like at least $50 worth of quarters and $100 worth of

6、 one-dollar bills in the machine at all times. Also, the manager does not allow more than $500 in the machine at any time. What is the maximum number of quarters the manager would allow in the change machine?A. 200B. 400C. 1600D.20005. In order to bring his business to the next level, Christov wants

7、 to gain at least 2,000 followers on a popular social media platform. From his own personal account, he knows that each original post gains him approximately 3 new followers and every 5 reposts gains about 1. Which of the following inequalities represents the numbers of posts, P, and reposts, R, Chr

8、istov needs to reach his goal of gaining 2,000 followers?A. 3P+0.2R2,000B. 3P+5R2,000C. 1P+5R2,000D. 0.2P+5R2,0006. A company sells candy in jars that each have a volume of 3 cups. Each jar is filled above a certain line, guaranteeing that it has more than cups of candy. Which of the following graph

9、s shows the possible volumes of candy, c, in cups, a customer may have, given that they bought j jars of candy? A. B. C. D. B DIFFICULTY LEVEL: 37. In a baseball game, a player must touch 4 bases to get a run. However, some players get out before reaching the base, in which case the bases dont contr

10、ibute towards a run. Let b be the total number of bases a player touches in one game and r be the total number of runs he gets from those bases. Which of the following graphs shows the possible number of bases a player touches, given the number of runs he gets?C. D.8. Prachi needs between 240 and 26

11、0 total feet of fence panels. The home improvement store has 24 short （6-foot） fence panels and 28 long （8-foot） fence panels in stock. Which of the following combinations of fence panels could she buy?A. 6 short fence panels and 26 long fence panelsB. 8 short fence panels and 23 long fence panelsC.

12、 27 short fence panels and 12 long fence panelsD. 30 short fence panels and 10 long fence panels9. Li Qiang is listening to a symphony that has 2 movements. The first movement has 3 beats per measure and the second movement has 4 beats per measure. The symphony has 446 measures. In an attempt to cou

13、nt the beats, Li Qiang counts at least x of the beats in the first movement and exactly b beats in the second movement. Let x be the number of beats in the first movement and b be the number of beats in the second movement. Which of the following inequalities must be true?10. Priyankas car gets a ma

14、ximum of 35 miles per gallon. According to a particular convention, the“wear”on a vehicle is at least times the total number of miles driven plus the total number of gallons used. For Priyankas car, let m be the total number of miles driven, let g be the total number of gallons used, and let w be th

15、e “wear”. Which of the following systems of inequalities correctly represents these relationships?11. In night vision goggles, light rays cause electrons to be projected from a metal surface. The above equation relates the kinetic energy in electron volts （eV）, K, of emitted electrons to the frequen

16、cy in hertz, , of incident light rays and the work function, , in eV, of the metallic surface.In a particular set of night vision goggles, the electrons emitted must have a kinetic energy of at least 2.46 eV. If the frequency of incoming light rays is less than hertz , which of the following systems

17、 of inequalities best models the relationship between the work function, , and the light source frequency, ?12. Paper Scraper, Inc, a mobile paper shredding and recycling company, receives $0.39 for each pound of paper they shred, but it costs them approximately $1.38 per mile to operate their truck

18、. Any job that requires less than 200 miles of travel, and also nets at least $500 profit, qualifies for free delivery. Of the following, which combination of size in pounds and distance in miles would qualify for free delivery?A. Paul has 1,100 pounds of paper that requires 3 miles of travel.B. Li

19、Min has 1,500 pounds of paper that requires 107 miles of travel.C. Amira has 1,800 pounds of paper that requires 94 miles of travel.D. Jarles has 3,500 pounds of paper that requires 225 miles of travel.13. When Suraj goes to Roycefield golf course, he loses 20% of the （golf） balls he uses. When he g

20、oes to Hunterdon golf course, he loses 30% of the balls he uses. It costs Suraj $1.20 to buy a ball. This weekend, Suraj is planning to use 25 balls at Roycefield and 30 balls at Hunterdon. If he only has $20 to spend on balls, how many balls can he buy in order to guarantee that he will be able to

21、replace the balls he loses this weekend?A. 5B. 10C. 15D. 2014. A technology store sells tablets and computers. In January they sell over 300 items, and more of those sales are tablets than computers. In February they sell exactly 100 tablets and 20 computers. The graph at left shows two equations re

22、lated to this problem, where t is the total tablet sales （in January and February combined）, and c is the total computer sales. Which of the following combinations could be the technology stores total sales?A. 240 tablets and 100 computersB. 360 tablets and 180 computersC. 240 tablets and 260 comput

23、ersD. 120 tablets and 180 computers15. Elena is designing a paint can with thickness t millimeters and height h centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1 times the height of the can in centimeters in order to withstand pressure. Due to cost constrai

24、nts, the cost of material used, （0.2+t+0.5h） cents, must be at most 12.2 cents. Which of the following systems of inequalities best models the relationship between height and thickness described above?16. Anna is considering three insurance options for her business, shown in the table below.She want

25、s the total cost, c+d, to be at most $2,000. She also wants the benefit, which is 9090 percent of （10cd）, to be at least $12,400. Which of the following option selections would fit Annas plan?A. Options 11 and 22 workB. Only option 22 worksC. Only option 33 worksD. None of the above17. Aaron is purc

26、hasing party hats and fake mustaches for an end of the school year party. He can spend at most $30. Fake mustaches cost $3 each, and party hats cost $2 each. If he must purchase a combination of at least 15 mustaches and party hats, which of the following systems of inequalities best models the rela

27、tionship between the number of mustaches, m, and party hats, p, described above?18. A company manufactures cellular phones and laptop computers. The companys daily production of cellular phones, c, must be more than 500,000, and its daily production of laptop computers, l, must be more than 300,000.

28、 If the maximum capacity of the companys manufacturing center is no more than 950,000 total cellular phones and laptop computers, which of the following systems of inequalities best models the situation described above? D DIFFICULTY LEVEL:19. Tony is raising funds for his school soccer team by selling boxes of candy and t-shirts. His goal is to make more than $300 dollars overall. Each box of candy that Tony sells earns him $15, and each t-shirt sold earns him $20. If Tony wants to sell