If y varies directly as x, and y = 14 as x = 7, find y for the x-value of 10.
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.
Just for terminology:
y varies directly with x... \(y = kx\)
y varies directly with x²... \(y = kx²\)
y varies indirectly with x...\(y = k/x\)
We need to find the constant \(k\) in the equation \(y=kx\).
Plug in the known values. \(14=k\dot7\)...\(k=2\).
Now, you have your equation. \(y=2x\).
Plug in 10 for \(x\).
\(y=2\dot10=\box{20}\)