math

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Translate to an equation:

p $25 potted plants and s $20 shrubs total $300

Graph the equation and use the graph to determine three different combinations of potted plants and shrubs that total $300.

  • math -

    can someone pleae help me???

  • math -

    25*x+20*y=300

    x=numbers of potted plants

    y=numbers of shrubs


    You can divide both sides by 5, giving the following:

    (25*x)/5 + (20*y)/5 = 300/5

    5p + 4s = 60

    You could set it up as follows; given a "p" value, you can find "s":

    4s = 60 - 5p Divide both sides with 4

    (4s)/4 = (60/4) - (5p/4)

    s = 15 - 5p/4

    To plot it, you might think of "p" and "s" as "x" and "y".


    p can be 0 or number divisible with 4


    Here are possible solutions:


    p = 0

    s = 15 - 5p/4

    s = 15 - 5*0/4 = 15 -0 = 15

    p=0

    s = 15

    0*20$ + 15*20$ = 0+300$ = 300$




    p = 4

    s = 15 - 5p/4

    s = 15 - 5*4/4 = 15 - 20/4 = 15 -5 = 10

    p=4

    s=10


    4*25$ + 10*20$ = 100$ + 200$ = 300$


    p = 8

    s = 15 - 5p/4

    s = 15 - 5*8/4 = 15 - 40/4 = 15 -10 = 5

    p=8

    s = 5

    8*25$ + 5*20$ = 200 + 100$ = 300$



    p = 12

    s = 15 - 5p/4

    s = 15 - 5*12/4 = 15 - 60/4 = 15 -15 = 0

    p=12

    s=0


    12*25$ + 0*20$ = 300$ + 0 = 300$


    For graph go to:

    wolframalpha dot com

    and type:

    plot (15-5p/4) (p=-5 to 15)

    then click option =

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