Respuesta :
While I can't be 100% sure, I believe that this is how you would solve this problem:
x=7, and y=14. As y varies directly as x, y=2(x), seen through 2(7)=14.
Therefore, when x=10, y=2(10)=20
And so, y= 20.
x=7, and y=14. As y varies directly as x, y=2(x), seen through 2(7)=14.
Therefore, when x=10, y=2(10)=20
And so, y= 20.
Just for terminology:
y varies directly with x... [tex]y = kx[/tex]
y varies directly with x²... [tex]y = kx²[/tex]
y varies indirectly with x...[tex]y = k/x[/tex]
We need to find the constant [tex]k[/tex] in the equation [tex]y=kx[/tex].
Plug in the known values. [tex]14=k\dot7[/tex]...[tex]k=2[/tex].
Now, you have your equation. [tex]y=2x[/tex].
Plug in 10 for [tex]x[/tex].
[tex]y=2\dot10=\box{20}[/tex]
y varies directly with x... [tex]y = kx[/tex]
y varies directly with x²... [tex]y = kx²[/tex]
y varies indirectly with x...[tex]y = k/x[/tex]
We need to find the constant [tex]k[/tex] in the equation [tex]y=kx[/tex].
Plug in the known values. [tex]14=k\dot7[/tex]...[tex]k=2[/tex].
Now, you have your equation. [tex]y=2x[/tex].
Plug in 10 for [tex]x[/tex].
[tex]y=2\dot10=\box{20}[/tex]