Question

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.

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

0.001301745743669519x^2
-5.0390080805461945x
+ 4876.675395385017 maybe

Answer 5

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.

Answer 6

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.

Answer 7

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.

Answer 8

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.

Answer 9

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.

Answer 10

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.

Answer 11

lol...you still there?

Answer 12

(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...

Answer 13

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

Answer 14

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
.................................................

Answer 15

Eq3:

a(57)^2 + b(57) = 4.90


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

Answer 16

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

Answer 17

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)

Answer 18

now you plug those values into the equation:

y = a(x-40)^2 + b(x-40) + c : and you get your quadratic equation.

Answer 19

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.

Answer 20

Youre welcome :) I just hope its useful lol

Answer 21

that doesnt wanna open on this computer....

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

plug in 1976 yes

Answer 27

did you get 60.25 and 28 from those monster fractions?

Answer 28

Ok when I did that I got y=225876992.25

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

I programmed that thing myself just for cases like these lol

Answer 33

0.001301745743669519x^2 + -5.0390080805461945x + 4876.675395385017

the quadratic equation is this monster of a mess...

Answer 34

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

Answer 35

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 ;)

Answer 36

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.

Answer 37

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

Answer 38

(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.

Answer 39

This is the formula I worked out up there :)

0.0013017457436695185(x-40)^2
+ 0.011765404891539196(x-40)
+ 0.25

Answer 40

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

Answer 41

I so need a tutor like you in person

Answer 42

From 1976 as an input we get:

2.36 which is pretty close to 2.30.

Answer 43

:) if your near tampa....

Answer 44

LOL. Near KC, MO

Answer 45

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...

Answer 46

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....

Answer 47

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

Answer 48

yeah, it was 20 years for me.

Answer 49

tried back in 92 but kids and bills got more important

Answer 50

I hear you

Answer 51

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

Answer 52

Wow. That is awesome

Answer 53

awesome that im unemployable ? :)

Answer 54

No that you are going back to school now

Answer 55

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

Answer 56

amistre, need your help

Answer 57

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

Answer 58

thanx :) BTM, itll be about 30 mins prolly

Answer 59

Ok
Thank you for everything

Answer 60

ok

Answer 61

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

Answer 62

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

Answer 63

if (q=g){...} is meaningless,

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

Answer 64

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

Answer 65

I get 1959 = .9434 cents

1960 = 1.006 :)

Answer 66

2009 prediction is:

$7.259 as compared to $7.25

Answer 67

and thats all the answers :)

Answer 68

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 (?)

Answer 69

What are plugging the dates into? Please show me?

Answer 70

b is a constant that the equation requires in order to function correctly.

b :=approximately: 0.011765404891539196 round that to .01 if need be

Answer 71

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

Answer 72

plugging the "dates" into is: x = date.

we use the date as the input variable for the value of "X".

Answer 73

c = .25 ;)

Answer 74

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.

Answer 75

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

Answer 76

that looks more manageable ;)

Answer 77

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

Answer 78

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

Answer 79

for 1975 we get:

.001(35)^2 +.01(35) + .25 = 1.825 with this simplified version of it.

Answer 80

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

Answer 81

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

Answer 82

1976-40=36 right? so:

.001(36^2) + .01(36) + .25 = 1.906 is what I get for 1976

Answer 83

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

Answer 84

This setup right here gives you the most accurate:

.0013017457436695185 (x-40)^2
+ .011765404891539196 (x-40)
+ .25

Answer 85

are you making sure you subtract 40 from the year?

Answer 86

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

Answer 87

Google gives me this ;)

(.0013017457436695185 * (36^2)) + (.011765404891539196 * 36) + .25 = 2.36061706

Answer 88

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

Answer 89

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

Answer 90

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