anonymous
  • anonymous
Aisha just received a $40 paycheck from her new job. She spends some of it buying music online and saves the rest in a bank account. Her savings is given by f(x) = 40 ­ 1.25x, where x is the number of songs she downloads at $1.25 per song. a. Graph the function.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
edit: f(x) = 40 - 1.25x
anonymous
  • anonymous
@jim_thompson5910
UsukiDoll
  • UsukiDoll
put it in y = mx+b form f(x) also means y we just need rearranging for the formula

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More answers

anonymous
  • anonymous
y = -1.25x + 40
UsukiDoll
  • UsukiDoll
yup... now we just graph that... hmm..... not by hand .... with desmos online grapher
UsukiDoll
  • UsukiDoll
anonymous
  • anonymous
i have to take a pic of it to send it through online, so i gotta do it by hand lol
UsukiDoll
  • UsukiDoll
if we chose x = 0 then y = 40 and that is crazy to graph manually
UsukiDoll
  • UsukiDoll
oh wow XD good luck XD
anonymous
  • anonymous
lol, can u tell me what goes on the x value line and the y value so i can graph?
UsukiDoll
  • UsukiDoll
I think it's torture .... when x = 0 y = 40 so by graph paper you will have to combine sheets
UsukiDoll
  • UsukiDoll
well we can just let x = 0,1,2,3... and then solve for y same process when x = -1,-2,-3 and then solve for y
anonymous
  • anonymous
i mean, when i graph this manually, the y values will be 0 to 40 and the x values will be..1 2 3 etc?
UsukiDoll
  • UsukiDoll
we can choose our x ... that's why x can be 0,1,2,3. we plug those values into the equation so we can solve for y when x = 0 y = 1.25(0) +40 y=0+40 = 40 so (0,40) is a point on the graph
UsukiDoll
  • UsukiDoll
when x = 1 y=1.25(1) +40 = 1.25+ 40 = 41.25 so (1,41.25)
UsukiDoll
  • UsukiDoll
that's torture to draw manually
anonymous
  • anonymous
hmm yea >.< lol i'll see what i can do, thanks!
UsukiDoll
  • UsukiDoll
ugh .. I forgot the negative ok that didn't make an impact when x = 0 but it does when x = 1 so y=-1.25+40 = 38.75 (1, 38.75) that makes better sense.
UsukiDoll
  • UsukiDoll
damn I was half drowsy when I was doing the x = 1 xD
anonymous
  • anonymous
|dw:1438128399818:dw| this is what im kinda confused about
anonymous
  • anonymous
i plot 40 on the y axis, and i gotta go down -1.25 cuz thats the slope, but what numbers do i put on the x axis
UsukiDoll
  • UsukiDoll
if your graphing by 5's... it should be uniformed.. |dw:1438128530205:dw|
UsukiDoll
  • UsukiDoll
wow.. maybe.. let x = 5, 10, 15 into the equation and see what the y-axis becomes.. but I know it's not going to be in 5's
UsukiDoll
  • UsukiDoll
like when x = 5 y = -1.25(5) +40
anonymous
  • anonymous
but even though x represents the number of songs this girl downloads, it should still be like u just drew it? i thought the y axis = the dependent variable, being the money, and the x axis is the independent, being the amount of songs downloaded.
UsukiDoll
  • UsukiDoll
x is the number of songs.. so when x = 5.. that's 5 songs the more songs bought the less money is left over so if x = 5 (5 SONGS) y= -1.25(5) +40 5 songs at $1.25 a piece is (1.25 x 5 = 6.25 or $6.25) so $6.25 is being deduced from 40 dollars y=-6.25+40 y=33.75 or $33.75 dollars remaining.
anonymous
  • anonymous
ok i see, thanks
UsukiDoll
  • UsukiDoll
so to find out how many songs can be buy until she goes bankrupt we have to find the x-intercept and that's setting y = 0 0 = -1.25x+40 and solve for x -40 = -1.25x dividing -1.25 on both sides gives us 32. So, she can buy up to 32 songs before going broke
UsukiDoll
  • UsukiDoll
so x is the songs y is da money at 0 songs she has her full 40 dollars (0,40) when x = 0 (finding the y-intercept) at 32 songs she's broke (32,0) when y = 0 (finding the x-intercept)
anonymous
  • anonymous
ty!
UsukiDoll
  • UsukiDoll
I just realized something. you just have to plot the points (0,40) and (32,0). then you can connect the dots.. no manual let x = 1,2,3... what the question was really looking for are the intercepts x*(
anonymous
  • anonymous
yea, i just did it that way ^^
UsukiDoll
  • UsukiDoll
yay :)

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