Question

suppose y varies directly with x and y=-20 when x=-1 what direction variation equation relates to x and y what is the value of y when x=-10

Answer 1

Given:-

suppose y varies directly with x and y=-20 when x=-1.

To find:-

what direction variation equation relates to x and y what is the value of y when x=-10.

y varies directly with x that means y is directly propotional to x.

`y=kx`

Value of y=-20 when x=-1, so substituting we get,

`\begin{gathered} -20=k*-1 \\ 20=k \end{gathered}`

So the value of k is 20.

So the direct equation is,

`y=20x`

Now we find the value of y when x=-10,

`\begin{gathered} y=20*-10 \\ y=-200 \end{gathered}`

So the value of y is -200.