A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Minimum Wage The table shows the minimum wage for three different years. Year/wages: 1940/0.25, 1968/1.60, 1997/5.15 (a) Make a scatterplot of the data in the viewing rectangle [1930, 2010, 10] by [0, 6, 1]. (b) Find a quadratic function given by that models the data. f(x)=a(x - h)^2 + k (c) Estimate the minimum wage in 1976 and compare it to the actual value of $2.30. (d) Estimate when the minimum wage was $1.00. (e) If current trends continue, predict the minimum wage in 2009. Compare it to the projected value of $7.25.

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The question is too long. I feel too lazy to read it :(

  2. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ive never made a scatter plot tha tI know of...

  3. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just three plots aint much of a scatter, but I can make a quad out of it if you want :)

  4. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  5. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    0.001301745743669519x^2 -5.0390080805461945x + 4876.675395385017 maybe

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm going nuts on this. I need to learn how to do this not just answers. Thanks for everyone's help. If anyone else knows how to solve these. Please let me know. Thank you.

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm going nuts on this. I need to learn how to do this not just answers. Thanks for everyone's help. If anyone else knows how to solve these. Please let me know. Thank you.

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm going nuts on this. I need to learn how to do this not just answers. Thanks for everyone's help. If anyone else knows how to solve these. Please let me know. Thank you.

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm going nuts on this. I need to learn how to do this not just answers. Thanks for everyone's help. If anyone else knows how to solve these. Please let me know. Thank you.

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm going nuts on this. I need to learn how to do this not just answers. Thanks for everyone's help. If anyone else knows how to solve these. Please let me know. Thank you.

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm going nuts on this. I need to learn how to do this not just answers. Thanks for everyone's help. If anyone else knows how to solve these. Please let me know. Thank you.

  12. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol...you still there?

  13. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (1940/0.25), (1968/1.60), (1997/5.15 ) the numbers are huge, but the process is the same: a(1940)^2 + b(1940) +c = .25 a(1968)^2 + b(1968) +c = 1.6 a(1997)^2 + b(1997) +c = 5.15 we can reduce the numbers and still get the same effect by subtracting 1940 from everything...

  14. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    these numbers are more managable; just dont forget to "+40" to the year when your done. a(0)^2 + b(0) +c = .25 <-- from this we see that c = .25 thats a given; write it down :) a(28)^2 + b(28) +c = 1.6 a(57)^2 + b(57) +c = 5.15

  15. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Eq simply means "Equation": a(28)^2 + b(28) +.25 = 1.6 a(28)^2 + b(28) = 1.6 - .25 = 1.35 <-Eq2 .............................................. a(57)^2 + b(57) +.25 = 5.15 a(57)^2 + b(57) = 5.15 - .25 = 4.90 <-Eq3 ....................................... a(28)^2 + b(28) = 1.35 <-Eq2 ; solve for b, just a random pick nothing special about it 1.35 - a(28)^2 b = ------------- <- use this "value" of b in the other Eq. 28 .................................................

  16. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Eq3: a(57)^2 + b(57) = 4.90 (1.35 - a(28)^2) (57) a(57)^2 + ------------------ = 4.90 ; solve for "a" :) 28

  17. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a(57)^2(28) + (1.35 - a(28)^2) (57) = 4.90(28) a(57)^2(28) + 1.35(57) - a(28)^2(57) = 4.90(28) a(57)^2(28) - a(28)^2(57) = 4.90(28) - 1.35(57) a [(57)^2(28) -(28)^2(57)] = 4.90(28) - 1.35(57) 4.90(28) - 1.35(57) 60.25 a = -------------------- = ------- ; reduce as wanted :) (57)^2(28) -(28)^2(57) 46284 ............................................. a = 60.25/46284 ;c = .25

  18. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now lets see what "b" equals with this monstrocity: recall that "b" =: 1.35 - a(28)^2 b = ------------- 28 1.35 - (60.25/46284)(28)^2 b = ------------------------ 28 1.35(46284) - (60.25)(28)^2 b = ----------------------------- ; reduce as wanted :) 48284(28)

  19. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now you plug those values into the equation: y = a(x-40)^2 + b(x-40) + c : and you get your quadratic equation.

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Amistre64, You are awesome. I'm a little confused but I will look it over better in the morning in hope that I can follow. Once again thank you so much.

  21. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Youre welcome :) I just hope its useful lol

  22. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

  23. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that doesnt wanna open on this computer....

  24. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    your probably gonna have to chisel it on a stela and throw it at me :)

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think I'm just a lost cause. I'm lost. Its crazy. Sorry

  26. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So I plug in y=60.25(x-40)^2+28(x-40)+.25

  27. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Then if I want to know the wages for 1976 Do I plug that in for x or am I crazy lost.

  28. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    plug in 1976 yes

  29. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    did you get 60.25 and 28 from those monster fractions?

  30. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok when I did that I got y=225876992.25

  31. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I just plugged a=60.25, b = 28, and c = .25 Into y=a(x-40)^2+b(x-40)+c

  32. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm sorry I don't know why I'm having so much trouble with this. I'm just not understanding it.

  33. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when I use my "quad" finder I programed I get the:

  34. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I programmed that thing myself just for cases like these lol

  35. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    0.001301745743669519x^2 + -5.0390080805461945x + 4876.675395385017 the quadratic equation is this monster of a mess...

  36. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wow...I don't know. errrr lol

  37. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when given 3 sets of data; you can find a quad to match it by doing all that stuff I did up there; so instead, I just told the computer to do it all and give me an answer ;)

  38. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't know how to explain my answer in a, b,c, d and e in these problems. I have to show how I got the answers.

  39. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then you show them what I typed out ;) cause thats the most basic way to derive it.

  40. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (a) Make a scatterplot of the data in the viewing rectangle [1930, 2010, 10] by [0, 6, 1]. (b) Find a quadratic function given by f(x) = a(x – h)^2 + k that models the data. (c) Estimate when the minimum wage in 1976 and compare it to the actual value of $2.30. (d) Estimate when the minimum wage was $1.00. (e) If current trends continue, predict the minimum wage in 2009. Compare it to the projected value of $7.25.

  41. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is the formula I worked out up there :) 0.0013017457436695185(x-40)^2 + 0.011765404891539196(x-40) + 0.25

  42. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    where you got 60.25 and 28 from .... I dunno. Unless I got typoed; which is a possibility

  43. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I so need a tutor like you in person

  44. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    From 1976 as an input we get: 2.36 which is pretty close to 2.30.

  45. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :) if your near tampa....

  46. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    LOL. Near KC, MO

  47. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    id have to do a little more programming to determine the "$1.00" part. just have to tell it to get it from the other input box and give me an answer for it...

  48. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i wrote an algorithym a while back to zone in on a particular value by seeing when it gets over to back up and add halves....

  49. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You are too smart. LOL. I haven't had a math class in over 12 years. This is what I get for having kids and getting married then a divorce makes me want to finishing school

  50. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah, it was 20 years for me.

  51. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    tried back in 92 but kids and bills got more important

  52. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I hear you

  53. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now that im "unemployable" I am going back to get some degrees to teach in colleges

  54. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wow. That is awesome

  55. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    awesome that im unemployable ? :)

  56. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No that you are going back to school now

  57. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah. Im surrounded by students that are not much older than my kids...

  58. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    amistre, need your help

  59. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hey...who cares...I think it is great that you are back...trying...Thats amazing

  60. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanx :) BTM, itll be about 30 mins prolly

  61. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok Thank you for everything

  62. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  63. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just finishing up some last minute programming and it should be set....

  64. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol..... still got a bug that needs squashed; sqrt(64) is NOT zero lol

  65. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if (q=g){...} is meaningless, if(q==g){.......} is proper. I forgot to put 2 "=" lol

  66. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im just gonna plug in dates till I get near 1 ;) just gonna be easier

  67. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I get 1959 = .9434 cents 1960 = 1.006 :)

  68. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2009 prediction is: $7.259 as compared to $7.25

  69. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and thats all the answers :)

  70. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok quick question. I know (from what you gave me) that a=60.25/46284, c =.25, and what you gave me for b, is not working out for me. What would b be again. and can a be broke down smaller. so in my problem: y=a(x-40)^2+b(x-40)+c I plug in y=60.25/46284(x-40)^2+b(x-40)+.25 So for x I can replace it with 1976, right? and b I can replace it with (?)

  71. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What are plugging the dates into? Please show me?

  72. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    b is a constant that the equation requires in order to function correctly. b :=approximately: 0.011765404891539196 round that to .01 if need be

  73. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a :=approx" 0.0013017457436695186241465733298764; rounded to .001 if need be

  74. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    plugging the "dates" into is: x = date. we use the date as the input variable for the value of "X".

  75. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    c = .25 ;)

  76. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a, b and c are constants that do not change in this equation. They allow us to pinpoint with a great deal of accuracy the proper amounts that the inputs require.

  77. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    output = .001 x^2 +.01 x +.25

  78. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that looks more manageable ;)

  79. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    opps...(x-40)^2 and (x-40) is what it should read

  80. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    output = .001(x-40)^2 +.01(x-40) +.25

  81. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    for 1975 we get: .001(35)^2 +.01(35) + .25 = 1.825 with this simplified version of it.

  82. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    When I try this and put 1976 in for x I get y=3767.706

  83. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but they ask for 1976 lol..... i have a memory like a steel seive :)

  84. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1976-40=36 right? so: .001(36^2) + .01(36) + .25 = 1.906 is what I get for 1976

  85. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    to get it more accurate, you will have to include more decimal points from the original setup

  86. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This setup right here gives you the most accurate: .0013017457436695185 (x-40)^2 + .011765404891539196 (x-40) + .25

  87. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    are you making sure you subtract 40 from the year?

  88. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That was my problem. Thank You. I get it now. You are amazing. Thank you Thank you Thank you!!!

  89. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Google gives me this ;) (.0013017457436695185 * (36^2)) + (.011765404891539196 * 36) + .25 = 2.36061706

  90. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can copy and past an equation into a google search bar and it calculates it for you. its pretty nifty lol I said nifty

  91. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I didn't know that. Cool. Thanks again. Yay!!!

  92. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yay!! we got new stuff to play with in here...

  93. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.