Write an inverse variation equationn, y $y = \frac { k } { x }$ ,, that satisfies the ordered pairs in the table.
-$$\begin{array} { c | c | c | c | c }
\mathrm { x } & 2 & - 7 & \frac { 7 } { 2 } & - 4 \
\hline \mathrm { y } & 7 & - 2 & 4 & - \frac { 7 } { 2 }
\end{array}$$
A) $x = \frac { 14 } { y }$
B) $x = \frac { - 14 } { y }$
C) $y = \frac { 14 } { x }$
D) $y = \frac { - 14 } { x }$

Question

Write an inverse variation equationn, y $y = \frac { k } { x }$ ,, that satisfies the ordered pairs in the table.
-$$\begin{array} { c | c | c | c | c } 
\mathrm { x } & 2 & - 7 & \frac { 7 } { 2 } & - 4 \
\hline \mathrm { y } & 7 & - 2 & 4 & - \frac { 7 } { 2 }
\end{array}$$
A) $x = \frac { 14 } { y }$
B) $x = \frac { - 14 } { y }$
C) $y = \frac { 14 } { x }$
D) $y = \frac { - 14 } { x }$

Quizplus · Accepted Answer

To find the correct equation, we use the inverse variation formula $y = \frac{k}{x}$ and solve for $k$ using one of the given pairs. Using $x = 2$ and $y = 7$, we get $7 = \frac{k}{2}$, which gives $k = 14$. Therefore, the correct equation is $y = \frac{14}{x}$.

Write an Inverse Variation Equationn, Y y=kxy = \frac { k } { x }y=xk​

Write an Inverse Variation Equationn, Y $y = \frac { k } { x }$