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The value of [tex]$y$[/tex] varies directly with [tex]$x$[/tex]. Solve for [tex][tex]$y$[/tex][/tex] when [tex]$x = 2$[/tex].

[tex]\[
\begin{array}{l}
k = -17 \\
y = [?]
\end{array}
\][/tex]

Remember: [tex]y = kx[/tex]

Sagot :

GinnyAnsweridn
To solve for [tex]\( y \)[/tex] when [tex]\( x = 2 \)[/tex] and given that the value of [tex]\( y \)[/tex] varies directly with [tex]\( x \)[/tex], we can use the direct variation formula which is:

[tex]\[ y = kx \][/tex]

Here, the constant of proportionality [tex]\( k \)[/tex] is given as [tex]\( -17 \)[/tex].

Substitute the values of [tex]\( x \)[/tex] and [tex]\( k \)[/tex] into the direct variation formula:

[tex]\[ y = (-17) \cdot 2 \][/tex]

Now, perform the multiplication:

[tex]\[ y = -34 \][/tex]

Therefore, when [tex]\( x = 2 \)[/tex], the value of [tex]\( y \)[/tex] is [tex]\( -34 \)[/tex].
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