5 Graphing linear equations.docx

1、5 Graphing linear equationsGraphing linear equations1.The average price of a certain type of coffee worldwide was $0.51 per pound in 2008. The price per pound increased about $0.18 each year until 2014, and is expected to do so for the next two years. Which of the following graphs represents the rel

2、ationship between years after 2008, t, and price per pound, P, in dollars, of this coffee worldwide?A.B.C.D.Correct Answer: A Difficult level: 32. A farmer observes that the demand for corn Q, in thousands of bushels per month, and price P, in dollars per bushel, are related by a linear function. If

3、 a demand of 2,500 bushels per month corresponds to a price of $4.00 per bushel, and a demand of 3,000 bushels per month corresponds to a price of $3.20 per bushel, which of the following graphs represents the relationship between P and Q?A.B.C. D.Correct Answer: D Difficult level: 33. The lines f a

4、nd g are graphed BELOW in the xy-plane. Line g can be written as the equation y=ax+b, where a and b are constants. Which of the following equations represents line f? Please choose from one of the following options.A. y=axbB. y=ax+bC. y=ax+bD. x=ay+bCorrect Answer: C Difficult level: 34.Which of the

5、 following graphs represents the equation (y+6)= A. B.C. D.Correct Answer: A Difficult level: 35. The equation 6y+12x=18 is graphed in the xy-plane. Which of the following equations has a graph that is perpendicular to the graph of the above equation?A. y=-2x+3 B. y=x+3C. y=2x+3D. y=-x+3Correct Answ

6、er: B Difficult level: 36. Which of the following equations represents a line in the xy-plane with an x-intercept at (-2, 0) and a slope of 4?A. y=4x+8B. y=-4x+8C. y=4x-2D. y=-4x-2Correct Answer: A Difficult level: 27. The equation y=(x8) is graphed in the xy-plane. Which of the following equations

7、will have a graph that is parallel to the graph of the above equation and have an x-intercept on the negative x-axis?A. y=(x+8) B. y=x-8C. y=x+8)D. y=x-8Correct Answer: A Difficult level: 28. The equation y=x+a is graphed in the xy-plane, where a is a positive constant. A second equation, y=x-a, is

8、graphed in the same xy-plane. How do the slope and y-intercept of the graph of the first equation compare with the slope and y-intercept of the graph of the second equation?A. The slopes are the same; the y-intercept of the first equations graph is the point (0, a), and the y-intercept of the second

9、 equations graph is the point (0, a).B. The slopes are the same; the y-intercept of the first equations graph is the point (0,-a), and the y-intercept of the second equations graph is the point (0, a).C. The y-intercepts are the same; the slope of the first equations graph is a, and the slope of the

10、 second equations graph is -a.D. The y-intercepts are the same; the slope of the first equations graph is a, and the slope of the second equations graph is a.Correct Answer: A Difficult level: 29. Which of the following is an equation of the line A graphed in the xy-plane that passes through the poi

11、nt (1,3.5) and is perpendicular to the line B whose equation is x + 4.5 = 0?A. x=-1B. x=3.5C. y=3.5D. y=4.5Correct Answer: C Difficult level: 210. A line is graphed as shown BELOW. Which of the following equations represents the line? A. y=x+2B. y=x-2C. y=x+2D. y=x-2Correct Answer: D Difficult level

12、: 211. Which of the following equations represents the line graphed BELOW in the xy-plane?A. x=-4B. y=-4C. y=x-4D. x=y-4Correct Answer: B Difficult level: 212. Which of the following equations represents a line in the xy-plane with an x-intercept at (2,0) and a slope of 4?A. y=4x+8B. y=-4x+8C. y=4x-

13、2D. y=-4-2Correct Answer: A Difficult level: 213. Which of the following equations represents a line in the xy-plane with an x-intercept at (15,0) and a y-intercept at (0,9)?A. B.C.D.Correct Answer: B Difficult level: 314. Two lines graphed in the xy-plane have the equations 2x+5y=20 and y=kx-3, whe

14、re k is a constant. For what value of k will the two lines be perpendicular?A. B. C. D. Correct Answer: C Difficult level: 315. A rectangle is said to have a golden ratio if the ratio of its length to width is equal to approximately 1.6. Which of the following graphs represents the relationship betw

15、een length, l, and width, w, in a golden rectangle?A. B. C. D. Correct Answer: A Difficult level: 316. The line graphed BELOW in the xy-plane can be written as the equation y - c = m(x - d), where c, d, and m are constants. Which of the following represents the graph of y - c + 4 = m(x - d - 4)?A. B

16、. C. D. Correct Answer: A Difficult level: 317. Which of the following represents the graph of the equation 3y -7 = 0?A. B. C. D. Correct Answer: C Difficult level: 418. The equations x+y=3 and -5x-5y=-15 are graphed in the xy-plane. Which of the following must be true of the graphs of the two equat

17、ions?A. The slope of the graph of x+y=3is 11 and the slope of the graph of -5x-5y=-15 is 1.B. The graphs of the two equations are perpendicular lines.C. The yy-intercept of the graph of -5x-5y=-155x5y=15 is -1515.D. The graphs of the two equations are the same line.Correct Answer: D Difficult level:

18、 419. Which of the following represents the graph of the equation x = A. B. D. C. Correct Answer: D Difficult level: 420. The line represented by the equation y = is graphed in the xy-plane. Which of the following statements correctly describes the graph of the line? A. The line is perpendicular to

19、the graph x + y = 1.B. The line has a negative slope and a positive y-intercept.C. The line has a positive slope and a negative y-intercept.D. The x-intercept is equal to the negative of the y-intercept.Correct Answer: B Difficult level: 421. If k is a rational constant not equal to 1, which of the

20、following graphs represents the equation y+5=k(x+y)+5?A. B. C. D. Correct Answer: A Difficult level: 422. What is the equation of the line graphed in the xy-plane that passes through the point (-4,-5) and is parallel to the line whose equation is 3x-4y=-8?A. B. C.D.Correct Answer: B Difficult level:

21、 423. The equations below are graphed in the xy-plane. Which equations graph will have a slope of and a y-intercept of 3?A. 7x+8y=24B. 7x-8y=-24C. 8x+7y=3D. 7x-8y=3Correct Answer: B Difficult level: 424. The equation for the gravitational potential energy U of a 1-kilogram object on Earth resting h meters above the ground t seconds after placement is U = 9.8h joules. Which of the following is a graph of U versus t for a 1-kilogram object 2 meters above the ground?A. B. C. D. Correct Answer: C Difficult level: 4