可汗SAT数学练习:linear equation word problem【3】

2022-06-06 07:17:16

  可汗

  16.A food truck owner has determined that her maximum revenue occurs when she sells 950 sandwiches per month. For every sandwich above or below 950 that she sells, her revenue decreases by $0.10. Which of the following could be the number of sandwiches sold in a month if the owner's revenue decreased $45 from the maximum? Round the answer to the nearest whole number.

  A.s=905 or s=995

  B.s=946 or s=955

  C.s=500 or s=1,400

  D.s=500 or s=950

  correct answer: C difficult degree: 3

  17.An ice cream truck owner has determined that his maximum revenue occurs when he sells 1,250 cones per month. For every cone above or below 1,250 that he sells, his revenue decreases by $0.15. Which of the following equations can be used to find the possible numbers of cones, c, for which the revenue decreases $250 from the maximum?

  A.15|c-250|=1,250

  B.15|c-1,250|=250

  C.0.15|c-1,250|=250

  D.0.15|c-250|=1,250

  correct answer: C difficult degree: 3

  18.From 1980 to 2000, the annual profit of a company was $625,000 less $25,000 times the number of years either before or after 1990. Which of the following equations below could be used to determine in which year, x, the profit was $550,000?

  A.550 - 25| x - 1990 | = 625

  B.625 - 25 | x - 1990 | = 550

  C.625 +25 | x - 1990 | = 550

  D.625 +25 | x + 1990 | = 550

  correct answer: B difficult degree: 3

  19.Each of the 18 tires of a fully loaded semi-truck is bearing approximately 3,300 pounds. The unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. The truck holds 26 pallets of cargo when it is fully loaded. What is the approximate average weight of one pallet of cargo?

  A.1,131 pounds

  B.1,280 pounds

  C.1,633 pounds

  D.1,665 pounds

  correct answer: A difficult degree: 3

  20.At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3. A contestant weighing x pounds received $15 when the operator guessed 120 pounds. Which of the following equations could be used to solve for the weight of the contestant?

  A.3 | x - 15 | = 120

  B.3 | x - 120 | = 15

  C.15 | x - 120 | = 3

  D.15 | x - 3 | = 120

  correct answer: B difficult degree: 3

  21.Sam gives his little sister Lisa a 15 second (sec) head start in their 300 meter (m) race. During the race, LIsa runs at an average speed of 5 m/sec and Sam runs at an average speed of 8 m/sec. Which of the following best approximates the number of seconds that Sam will run before he catches Lisa?

  A.5

  B.25

  C.40

  D.55

  correct answer: B difficult degree: 3

  22.A company's unit cost for producing q units is a minimum when q=80 units are produced. The unit cost increases $7 for every 10 units more or less than 80 produced. If the minimum unit cost is $5, which of the following equations can be used to find the number of units, q, for which the unit cost is $8.25?

  A.5+0.7∣q−80∣=8.25

  B.0.7∣q−80∣=8.25

  C.5−0.7∣q−80∣=8.25

  D.−0.7∣q−80∣=8.25

  correct answer: A difficult degree: 3

  23.A company has determined that its maximum profit occurs when it sells 10,000 units per month. For every 1,000 units more or less than 10,000 units that the company sells, its profit decreases by $5,000. Which of the following equations can be used to find the number of units, q, in thousands, for which the profit decreases $35,000 from the maximum?

  A.10∣q−35∣=5

  B.5∣q−10∣=35

  C.35∣q−10∣=5

  D.5∣q−35∣=10

  correct answer: B difficult degree: 3

  24.Carlos shovels snow from driveways in his neighborhood. He charges $10 for each regular driveway and he charges an extra $7.50 for each large driveway that he shovels. After a snowstorm he shovels 3 fewer large driveways than regular driveways and makes $140. How many regular driveways did Carlos shovel?

  A.3

  B.4

  C.7

  D.9

  correct answer: C difficult degree: 3

  25.A stack of 20 stainless steel sheets is supposed to be 40 millimeters (mm) thick. The allowable amount of variation in thickness (tolerance) is 0.08mm for an individual sheet. Which of the following are the smallest and largest allowable thicknesses for a stack of 20 sheets?

  A.39.92mm and 40.08mm, respectively

  B.399.2mm and 400.8mm, respectively

  C.38.4mm and 41.6mm, respectively

  D.384mm and 416mm, respectively

  correct answer: C difficult degree: 3

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