Mathematics

Question

If you awnser this question please include work
If you awnser this question please include work

2 Answer

  • Answer:

    3/2

    Step-by-step explanation:

    2+1=3

    3*3/2=4.5

    it would not make sense if it was 2/3 cuz look what u get.......

    3*2/3=2

  • Answer:

    When x increases by 1, y increases by 3/2 = 1.5

    Step-by-step explanation:

    If x and y are proporttional then

    [tex]\dfrac{y}{x}=costant\to\dfrac{y}{x}=a\to y=ax[/tex]

    From the table we have x = 2 and y = 3.

    Substitute:

    [tex]3=2a[/tex]          divide both sides by 2

    [tex]\dfrac{3}{2}=\dfrac{2a}{2}\\\\\dfrac{3}{2}=a\to a=\dfrac{3}{2}[/tex]

    Therefore we have:

    [tex]y=\dfrac{3}{2}x[/tex]

    We increase x by 1:

    [tex]y_1=\dfrac{3}{2}(x+1)[/tex]             use the distributive property

    [tex]y_1=\underbrace{\dfrac{3}{2}x}_{y}+\dfrac{3}{2}\Rightarrow y_1=y+\dfrac{3}{2}[/tex]

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