{"id":1121,"date":"2015-11-12T18:35:31","date_gmt":"2015-11-12T18:35:31","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=1121"},"modified":"2017-03-31T22:09:25","modified_gmt":"2017-03-31T22:09:25","slug":"section-exercises-53","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/odessa-collegealgebra\/chapter\/section-exercises-53\/","title":{"raw":"Section Exercises","rendered":"Section Exercises"},"content":{"raw":"

1. If the graphs of two linear functions are parallel, describe the relationship between the slopes and the y-intercepts.\r\n\r\n2.\u00a0If the graphs of two linear functions are perpendicular, describe the relationship between the slopes and the y-intercepts.\r\n\r\n3. If a horizontal line has the equation [latex]f\\left(x\\right)=a[\/latex] and a vertical line has the equation [latex]x=a[\/latex], what is the point of intersection? Explain why what you found is the point of intersection.\r\n\r\n4.\u00a0Explain how to find a line parallel to a linear function that passes through a given point.\r\n\r\n5. Explain how to find a line perpendicular to a linear function that passes through a given point.\r\n\r\nFor the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular:\r\n\r\n6. [latex]\\begin{cases}4x - 7y=10\\hfill \\\\ 7x+4y=1\\hfill \\end{cases}[\/latex]\r\n\r\n7. [latex]\\begin{cases}3y+x=12\\\\ -y=8x+1\\end{cases}[\/latex]\r\n\r\n8.\u00a0[latex]\\begin{cases}3y+4x=12\\\\ -6y=8x+1\\end{cases}[\/latex]\r\n\r\n9. [latex]\\begin{cases}6x - 9y=10\\\\ 3x+2y=1\\end{cases}[\/latex]\r\n\r\n10.\u00a0[latex]\\begin{cases}y=\\frac{2}{3}x+1\\\\ 3x+2y=1\\end{cases}[\/latex]\r\n\r\n11. [latex]\\begin{cases}y=\\frac{3}{4}x+1\\\\ -3x+4y=1\\end{cases}[\/latex]\r\n\r\nFor the following exercises, find the x- and y-intercepts of each equation.\r\n\r\n12. [latex]f\\left(x\\right)=-x+2[\/latex]\r\n\r\n13. [latex]g\\left(x\\right)=2x+4[\/latex]\r\n\r\n14.\u00a0[latex]h\\left(x\\right)=3x - 5[\/latex]\r\n\r\n15. [latex]k\\left(x\\right)=-5x+1[\/latex]\r\n\r\n16.\u00a0[latex]-2x+5y=20[\/latex]\r\n\r\n17. [latex]7x+2y=56[\/latex]\r\n\r\nFor the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?\r\n\r\n18. Line 1: Passes through [latex]\\left(0,6\\right)[\/latex] and [latex]\\left(3,-24\\right)[\/latex]\r\nLine 2: Passes through [latex]\\left(-1,19\\right)[\/latex] and [latex]\\left(8,-71\\right)[\/latex]\r\n\r\n19. Line 1: Passes through [latex]\\left(-8,-55\\right)[\/latex] and [latex]\\left(10,89\\right)[\/latex]\r\nLine 2: Passes through [latex]\\left(9,-44\\right)[\/latex] and [latex]\\left(4,-14\\right)[\/latex]\r\n\r\n20. Line 1: Passes through [latex]\\left(2,3\\right)[\/latex] and [latex]\\left(4,-1\\right)[\/latex]\r\nLine 2: Passes through [latex]\\left(6,3\\right)[\/latex] and [latex]\\left(8,5\\right)[\/latex]\r\n\r\n21. Line 1: Passes through [latex]\\left(1,7\\right)[\/latex] and [latex]\\left(5,5\\right)[\/latex]\r\nLine 2: Passes through [latex]\\left(-1,-3\\right)[\/latex] and [latex]\\left(1,1\\right)[\/latex]\r\n\r\n22.\u00a0Line 1: Passes through [latex]\\left(0,5\\right)[\/latex] and [latex]\\left(3,3\\right)[\/latex]\r\nLine 2: Passes through [latex]\\left(1,-5\\right)[\/latex] and [latex]\\left(3,-2\\right)[\/latex]\r\n\r\n23. Line 1: Passes through [latex]\\left(2,5\\right)[\/latex] and [latex]\\left(5,-1\\right)[\/latex]\r\nLine 2: Passes through [latex]\\left(-3,7\\right)[\/latex] and [latex]\\left(3,-5\\right)[\/latex]\r\n\r\n24. Write an equation for a line parallel to [latex]f\\left(x\\right)=-5x - 3[\/latex] and passing through the point [latex]\\left(2,\\text{ -}12\\right)[\/latex].\r\n\r\n25. Write an equation for a line parallel to [latex]g\\left(x\\right)=3x - 1[\/latex] and passing through the point [latex]\\left(4,9\\right)[\/latex].\r\n\r\n26.\u00a0Write an equation for a line perpendicular to [latex]h\\left(t\\right)=-2t+4[\/latex] and passing through the point [latex]\\left(\\text{-}4,\\text{ -}1\\right)[\/latex].\r\n\r\n27. Write an equation for a line perpendicular to [latex]p\\left(t\\right)=3t+4[\/latex] and passing through the point [latex]\\left(3,1\\right)[\/latex].\r\n\r\n28.\u00a0Find the point at which the line [latex]f\\left(x\\right)=-2x - 1[\/latex] intersects the line [latex]g\\left(x\\right)=-x[\/latex].\r\n\r\n29. Find the point at which the line [latex]f\\left(x\\right)=2x+5[\/latex] intersects the line [latex]g\\left(x\\right)=-3x - 5[\/latex].\r\n\r\n30.\u00a0Use algebra to find the point at which the line [latex]f\\left(x\\right)= -\\frac{4}{5}x +\\frac{274}{25}[\/latex] intersects the line [latex]h\\left(x\\right)=\\frac{9}{4}x+\\frac{73}{10}[\/latex].\r\n\r\n31. Use algebra to find the point at which the line [latex]f\\left(x\\right)=\\frac{7}{4}x+\\frac{457}{60}[\/latex] intersects the line [latex]g\\left(x\\right)=\\frac{4}{3}x+\\frac{31}{5}[\/latex].\r\n\r\nFor the following exercises, the given linear equation with its graph.\r\n\"\"\r\n\r\n32. [latex]f\\left(x\\right)=-x - 1[\/latex]\r\n\r\n33. [latex]f\\left(x\\right)=-2x - 1[\/latex]\r\n\r\n34.\u00a0[latex]f\\left(x\\right)=-\\frac{1}{2}x - 1[\/latex]\r\n\r\n35. [latex]f\\left(x\\right)=2[\/latex]\r\n\r\n36.\u00a0[latex]f\\left(x\\right)=2+x[\/latex]\r\n\r\n37. [latex]f\\left(x\\right)=3x+2[\/latex]\r\n\r\nFor the following exercises, sketch a line with the given features.\r\n\r\n38. An x-intercept of [latex]\\left(-\\text{4},\\text{ 0}\\right)[\/latex] and y-intercept of [latex]\\left(0,\\text{ -2}\\right)[\/latex]\r\n\r\n39. An x-intercept of [latex]\\left(-\\text{2},\\text{ 0}\\right)[\/latex] and y-intercept of [latex]\\left(0,\\text{ 4}\\right)[\/latex]\r\n\r\n40.\u00a0A y-intercept of [latex]\\left(0,\\text{ 7}\\right)[\/latex] and slope [latex]-\\frac{3}{2}[\/latex]\r\n\r\n41. A y-intercept of [latex]\\left(0,\\text{ 3}\\right)[\/latex] and slope [latex]\\frac{2}{5}[\/latex]\r\n\r\n42.\u00a0Passing through the points [latex]\\left(-\\text{6},\\text{ -2}\\right)[\/latex] and [latex]\\left(\\text{6},\\text{ -6}\\right)[\/latex]\r\n\r\n43. Passing through the points [latex]\\left(-\\text{3},\\text{ -4}\\right)[\/latex] and [latex]\\left(\\text{3},\\text{ 0}\\right)[\/latex]\r\n\r\nFor the following exercises, sketch the graph of each equation.\r\n\r\n44. [latex]f\\left(x\\right)=-2x - 1[\/latex]\r\n\r\n45. [latex]g\\left(x\\right)=-3x+2[\/latex]\r\n\r\n46. [latex]h\\left(x\\right)=\\frac{1}{3}x+2[\/latex]\r\n\r\n47. [latex]k\\left(x\\right)=\\frac{2}{3}x - 3[\/latex]\r\n\r\n48. [latex]f\\left(t\\right)=3+2t[\/latex]\r\n\r\n49. [latex]p\\left(t\\right)=-2+3t[\/latex]\r\n\r\n50.\u00a0[latex]x=3[\/latex]\r\n\r\n51. [latex]x=-2[\/latex]\r\n\r\n52. [latex]r\\left(x\\right)=4[\/latex]\r\n\r\n53. [latex]q\\left(x\\right)=3[\/latex]\r\n\r\n54. [latex]4x=-9y+36[\/latex]\r\n\r\n55. [latex]\\frac{x}{3}-\\frac{y}{4}=1[\/latex]\r\n\r\n56. [latex]3x - 5y=15[\/latex]\r\n\r\n57. [latex]3x=15[\/latex]\r\n\r\n58. [latex]3y=12[\/latex]\r\n\r\n59. If [latex]g\\left(x\\right)[\/latex] is the transformation of [latex]f\\left(x\\right)=x[\/latex] after a vertical compression by [latex]\\frac{3}{4}[\/latex], a shift right by 2, and a shift down by 4\r\n<\/p>

a. Write an equation for [latex]g\\left(x\\right)[\/latex].<\/p>\r\n

b. What is the slope of this line?<\/p>\r\n

c. Find the y-intercept of this line.<\/p>\r\n60.\u00a0If [latex]g\\left(x\\right)[\/latex] is the transformation of [latex]f\\left(x\\right)=x[\/latex] after a vertical compression by [latex]\\frac{1}{3}[\/latex], a shift left by 1, and a shift up by 3\r\n

a. Write an equation for [latex]g\\left(x\\right)[\/latex].<\/p>\r\n

b. What is the slope of this line?<\/p>\r\n

c. Find the y-intercept of this line.<\/p>\r\nFor the following exercises, write the equation of the line shown in the graph.\r\n\r\n61.\r\n\"\"\r\n\r\n62.\r\n\"\"\r\n\r\n63.\r\n\"\"\r\n\r\n64.\r\n\"\"\r\n\r\nFor the following exercises, find the point of intersection of each pair of lines if it exists. If it does not exist, indicate that there is no point of intersection.\r\n\r\n65. [latex]\\begin{cases}y=\\frac{3}{4}x+1\\\\ -3x+4y=12\\end{cases}[\/latex]\r\n\r\n66.\u00a0[latex]\\begin{cases}2x - 3y=12\\\\ 5y+x=30\\end{cases}[\/latex]\r\n\r\n67. [latex]\\begin{cases}2x=y - 3\\\\ y+4x=15\\end{cases}[\/latex]\r\n\r\n68.\u00a0[latex]\\begin{cases}x - 2y+2=3\\\\ x-y=3\\end{cases}[\/latex]\r\n\r\n69. [latex]\\begin{cases}5x+3y=-65\\\\ x-y=-5\\end{cases}[\/latex]\r\n\r\n70.\u00a0Find the equation of the line parallel to the line [latex]g\\left(x\\right)=-0.\\text{01}x\\text{+}\\text{2}\\text{.01}[\/latex] through the point [latex]\\left(\\text{1},\\text{ 2}\\right)[\/latex].\r\n\r\n71. Find the equation of the line perpendicular to the line [latex]g\\left(x\\right)=-0.\\text{01}x\\text{+2}\\text{.01}[\/latex] through the point [latex]\\left(\\text{1},\\text{ 2}\\right)[\/latex].\r\n\r\nFor the following exercises, use the functions [latex]f\\left(x\\right)=-0.\\text{1}x\\text{+200 and }g\\left(x\\right)=20x+0.1[\/latex].\r\n\r\n72. Find the point of intersection of the lines f<\/em>\u00a0and g<\/em>.\r\n\r\n73. Where is [latex]f\\left(x\\right)[\/latex] greater than [latex]g\\left(x\\right)[\/latex]? Where is [latex]g\\left(x\\right)[\/latex] greater than [latex]f\\left(x\\right)[\/latex]?\r\n\r\n74. A car rental company offers two plans for renting a car.\r\n\r\nPlan A: $30 per day and $0.18 per mile\r\nPlan B: $50 per day with free unlimited mileage\r\nHow many miles would you need to drive for plan B to save you money?\r\n\r\n75. A cell phone company offers two plans for minutes.\r\n\r\nPlan A: $20 per month and $1 for every one hundred texts.\r\nPlan B: $50 per month with free unlimited texts.\r\nHow many texts would you need to send per month for plan B to save you money?\r\n\r\n76.\u00a0A cell phone company offers two plans for minutes.\r\n\r\nPlan A: $15 per month and $2 for every 300 texts.\r\nPlan B: $25 per month and $0.50 for every 100 texts.\r\nHow many texts would you need to send per month for plan B to save you money?","rendered":"

1. If the graphs of two linear functions are parallel, describe the relationship between the slopes and the y-intercepts.<\/p>\n

2.\u00a0If the graphs of two linear functions are perpendicular, describe the relationship between the slopes and the y-intercepts.<\/p>\n

3. If a horizontal line has the equation [latex]f\\left(x\\right)=a[\/latex] and a vertical line has the equation [latex]x=a[\/latex], what is the point of intersection? Explain why what you found is the point of intersection.<\/p>\n

4.\u00a0Explain how to find a line parallel to a linear function that passes through a given point.<\/p>\n

5. Explain how to find a line perpendicular to a linear function that passes through a given point.<\/p>\n

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular:<\/p>\n

6. [latex]\\begin{cases}4x - 7y=10\\hfill \\\\ 7x+4y=1\\hfill \\end{cases}[\/latex]<\/p>\n

7. [latex]\\begin{cases}3y+x=12\\\\ -y=8x+1\\end{cases}[\/latex]<\/p>\n

8.\u00a0[latex]\\begin{cases}3y+4x=12\\\\ -6y=8x+1\\end{cases}[\/latex]<\/p>\n

9. [latex]\\begin{cases}6x - 9y=10\\\\ 3x+2y=1\\end{cases}[\/latex]<\/p>\n

10.\u00a0[latex]\\begin{cases}y=\\frac{2}{3}x+1\\\\ 3x+2y=1\\end{cases}[\/latex]<\/p>\n

11. [latex]\\begin{cases}y=\\frac{3}{4}x+1\\\\ -3x+4y=1\\end{cases}[\/latex]<\/p>\n

For the following exercises, find the x- and y-intercepts of each equation.<\/p>\n

12. [latex]f\\left(x\\right)=-x+2[\/latex]<\/p>\n

13. [latex]g\\left(x\\right)=2x+4[\/latex]<\/p>\n

14.\u00a0[latex]h\\left(x\\right)=3x - 5[\/latex]<\/p>\n

15. [latex]k\\left(x\\right)=-5x+1[\/latex]<\/p>\n

16.\u00a0[latex]-2x+5y=20[\/latex]<\/p>\n

17. [latex]7x+2y=56[\/latex]<\/p>\n

For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?<\/p>\n

18. Line 1: Passes through [latex]\\left(0,6\\right)[\/latex] and [latex]\\left(3,-24\\right)[\/latex]
\nLine 2: Passes through [latex]\\left(-1,19\\right)[\/latex] and [latex]\\left(8,-71\\right)[\/latex]<\/p>\n

19. Line 1: Passes through [latex]\\left(-8,-55\\right)[\/latex] and [latex]\\left(10,89\\right)[\/latex]
\nLine 2: Passes through [latex]\\left(9,-44\\right)[\/latex] and [latex]\\left(4,-14\\right)[\/latex]<\/p>\n

20. Line 1: Passes through [latex]\\left(2,3\\right)[\/latex] and [latex]\\left(4,-1\\right)[\/latex]
\nLine 2: Passes through [latex]\\left(6,3\\right)[\/latex] and [latex]\\left(8,5\\right)[\/latex]<\/p>\n

21. Line 1: Passes through [latex]\\left(1,7\\right)[\/latex] and [latex]\\left(5,5\\right)[\/latex]
\nLine 2: Passes through [latex]\\left(-1,-3\\right)[\/latex] and [latex]\\left(1,1\\right)[\/latex]<\/p>\n

22.\u00a0Line 1: Passes through [latex]\\left(0,5\\right)[\/latex] and [latex]\\left(3,3\\right)[\/latex]
\nLine 2: Passes through [latex]\\left(1,-5\\right)[\/latex] and [latex]\\left(3,-2\\right)[\/latex]<\/p>\n

23. Line 1: Passes through [latex]\\left(2,5\\right)[\/latex] and [latex]\\left(5,-1\\right)[\/latex]
\nLine 2: Passes through [latex]\\left(-3,7\\right)[\/latex] and [latex]\\left(3,-5\\right)[\/latex]<\/p>\n

24. Write an equation for a line parallel to [latex]f\\left(x\\right)=-5x - 3[\/latex] and passing through the point [latex]\\left(2,\\text{ -}12\\right)[\/latex].<\/p>\n

25. Write an equation for a line parallel to [latex]g\\left(x\\right)=3x - 1[\/latex] and passing through the point [latex]\\left(4,9\\right)[\/latex].<\/p>\n

26.\u00a0Write an equation for a line perpendicular to [latex]h\\left(t\\right)=-2t+4[\/latex] and passing through the point [latex]\\left(\\text{-}4,\\text{ -}1\\right)[\/latex].<\/p>\n

27. Write an equation for a line perpendicular to [latex]p\\left(t\\right)=3t+4[\/latex] and passing through the point [latex]\\left(3,1\\right)[\/latex].<\/p>\n

28.\u00a0Find the point at which the line [latex]f\\left(x\\right)=-2x - 1[\/latex] intersects the line [latex]g\\left(x\\right)=-x[\/latex].<\/p>\n

29. Find the point at which the line [latex]f\\left(x\\right)=2x+5[\/latex] intersects the line [latex]g\\left(x\\right)=-3x - 5[\/latex].<\/p>\n

30.\u00a0Use algebra to find the point at which the line [latex]f\\left(x\\right)= -\\frac{4}{5}x +\\frac{274}{25}[\/latex] intersects the line [latex]h\\left(x\\right)=\\frac{9}{4}x+\\frac{73}{10}[\/latex].<\/p>\n

31. Use algebra to find the point at which the line [latex]f\\left(x\\right)=\\frac{7}{4}x+\\frac{457}{60}[\/latex] intersects the line [latex]g\\left(x\\right)=\\frac{4}{3}x+\\frac{31}{5}[\/latex].<\/p>\n

For the following exercises, the given linear equation with its graph.
\n\"\"<\/p>\n

32. [latex]f\\left(x\\right)=-x - 1[\/latex]<\/p>\n

33. [latex]f\\left(x\\right)=-2x - 1[\/latex]<\/p>\n

34.\u00a0[latex]f\\left(x\\right)=-\\frac{1}{2}x - 1[\/latex]<\/p>\n

35. [latex]f\\left(x\\right)=2[\/latex]<\/p>\n

36.\u00a0[latex]f\\left(x\\right)=2+x[\/latex]<\/p>\n

37. [latex]f\\left(x\\right)=3x+2[\/latex]<\/p>\n

For the following exercises, sketch a line with the given features.<\/p>\n

38. An x-intercept of [latex]\\left(-\\text{4},\\text{ 0}\\right)[\/latex] and y-intercept of [latex]\\left(0,\\text{ -2}\\right)[\/latex]<\/p>\n

39. An x-intercept of [latex]\\left(-\\text{2},\\text{ 0}\\right)[\/latex] and y-intercept of [latex]\\left(0,\\text{ 4}\\right)[\/latex]<\/p>\n

40.\u00a0A y-intercept of [latex]\\left(0,\\text{ 7}\\right)[\/latex] and slope [latex]-\\frac{3}{2}[\/latex]<\/p>\n

41. A y-intercept of [latex]\\left(0,\\text{ 3}\\right)[\/latex] and slope [latex]\\frac{2}{5}[\/latex]<\/p>\n

42.\u00a0Passing through the points [latex]\\left(-\\text{6},\\text{ -2}\\right)[\/latex] and [latex]\\left(\\text{6},\\text{ -6}\\right)[\/latex]<\/p>\n

43. Passing through the points [latex]\\left(-\\text{3},\\text{ -4}\\right)[\/latex] and [latex]\\left(\\text{3},\\text{ 0}\\right)[\/latex]<\/p>\n

For the following exercises, sketch the graph of each equation.<\/p>\n

44. [latex]f\\left(x\\right)=-2x - 1[\/latex]<\/p>\n

45. [latex]g\\left(x\\right)=-3x+2[\/latex]<\/p>\n

46. [latex]h\\left(x\\right)=\\frac{1}{3}x+2[\/latex]<\/p>\n

47. [latex]k\\left(x\\right)=\\frac{2}{3}x - 3[\/latex]<\/p>\n

48. [latex]f\\left(t\\right)=3+2t[\/latex]<\/p>\n

49. [latex]p\\left(t\\right)=-2+3t[\/latex]<\/p>\n

50.\u00a0[latex]x=3[\/latex]<\/p>\n

51. [latex]x=-2[\/latex]<\/p>\n

52. [latex]r\\left(x\\right)=4[\/latex]<\/p>\n

53. [latex]q\\left(x\\right)=3[\/latex]<\/p>\n

54. [latex]4x=-9y+36[\/latex]<\/p>\n

55. [latex]\\frac{x}{3}-\\frac{y}{4}=1[\/latex]<\/p>\n

56. [latex]3x - 5y=15[\/latex]<\/p>\n

57. [latex]3x=15[\/latex]<\/p>\n

58. [latex]3y=12[\/latex]<\/p>\n

59. If [latex]g\\left(x\\right)[\/latex] is the transformation of [latex]f\\left(x\\right)=x[\/latex] after a vertical compression by [latex]\\frac{3}{4}[\/latex], a shift right by 2, and a shift down by 4\n<\/p>\n

a. Write an equation for [latex]g\\left(x\\right)[\/latex].<\/p>\n

b. What is the slope of this line?<\/p>\n

c. Find the y-intercept of this line.<\/p>\n

60.\u00a0If [latex]g\\left(x\\right)[\/latex] is the transformation of [latex]f\\left(x\\right)=x[\/latex] after a vertical compression by [latex]\\frac{1}{3}[\/latex], a shift left by 1, and a shift up by 3<\/p>\n

a. Write an equation for [latex]g\\left(x\\right)[\/latex].<\/p>\n

b. What is the slope of this line?<\/p>\n

c. Find the y-intercept of this line.<\/p>\n

For the following exercises, write the equation of the line shown in the graph.<\/p>\n

61.
\n\"\"<\/p>\n

62.
\n\"\"<\/p>\n

63.
\n\"\"<\/p>\n

64.
\n\"\"<\/p>\n

For the following exercises, find the point of intersection of each pair of lines if it exists. If it does not exist, indicate that there is no point of intersection.<\/p>\n

65. [latex]\\begin{cases}y=\\frac{3}{4}x+1\\\\ -3x+4y=12\\end{cases}[\/latex]<\/p>\n

66.\u00a0[latex]\\begin{cases}2x - 3y=12\\\\ 5y+x=30\\end{cases}[\/latex]<\/p>\n

67. [latex]\\begin{cases}2x=y - 3\\\\ y+4x=15\\end{cases}[\/latex]<\/p>\n

68.\u00a0[latex]\\begin{cases}x - 2y+2=3\\\\ x-y=3\\end{cases}[\/latex]<\/p>\n

69. [latex]\\begin{cases}5x+3y=-65\\\\ x-y=-5\\end{cases}[\/latex]<\/p>\n

70.\u00a0Find the equation of the line parallel to the line [latex]g\\left(x\\right)=-0.\\text{01}x\\text{+}\\text{2}\\text{.01}[\/latex] through the point [latex]\\left(\\text{1},\\text{ 2}\\right)[\/latex].<\/p>\n

71. Find the equation of the line perpendicular to the line [latex]g\\left(x\\right)=-0.\\text{01}x\\text{+2}\\text{.01}[\/latex] through the point [latex]\\left(\\text{1},\\text{ 2}\\right)[\/latex].<\/p>\n

For the following exercises, use the functions [latex]f\\left(x\\right)=-0.\\text{1}x\\text{+200 and }g\\left(x\\right)=20x+0.1[\/latex].<\/p>\n

72. Find the point of intersection of the lines f<\/em>\u00a0and g<\/em>.<\/p>\n

73. Where is [latex]f\\left(x\\right)[\/latex] greater than [latex]g\\left(x\\right)[\/latex]? Where is [latex]g\\left(x\\right)[\/latex] greater than [latex]f\\left(x\\right)[\/latex]?<\/p>\n

74. A car rental company offers two plans for renting a car.<\/p>\n

Plan A: $30 per day and $0.18 per mile
\nPlan B: $50 per day with free unlimited mileage
\nHow many miles would you need to drive for plan B to save you money?<\/p>\n

75. A cell phone company offers two plans for minutes.<\/p>\n

Plan A: $20 per month and $1 for every one hundred texts.
\nPlan B: $50 per month with free unlimited texts.
\nHow many texts would you need to send per month for plan B to save you money?<\/p>\n

76.\u00a0A cell phone company offers two plans for minutes.<\/p>\n

Plan A: $15 per month and $2 for every 300 texts.
\nPlan B: $25 per month and $0.50 for every 100 texts.
\nHow many texts would you need to send per month for plan B to save you money?<\/p>\n\n\t\t\t

\n\t\t\t

Candela Citations<\/h3>\n\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
CC licensed content, Shared previously<\/div>