Write an inverse variation equationn, y $y = \frac { k } { x }$ ,, that satisfies the ordered pairs in the table.
-$$\begin{array} { c | c | c | c | c }
\mathrm { x } & 10 & - \frac { 3 } { 10 } & \frac { 3 } { 4 } & - \frac { 6 } { 5 } \
\hline \mathrm { y } & 0.03 & - 1 & \frac { 2 } { 5 } & - \frac { 1 } { 4 }
\end{array}$$
A) $y = \frac { 0.3 } { x }$
B) $y = \frac { 30 } { x }$
C) $x = \frac { 0.3 } { y }$
D) $x = \frac { 3 } { y }$

Question

Write an inverse variation equationn, y $y = \frac { k } { x }$ ,, that satisfies the ordered pairs in the table.
-$$\begin{array} { c | c | c | c | c } 
\mathrm { x } & 10 & - \frac { 3 } { 10 } & \frac { 3 } { 4 } & - \frac { 6 } { 5 } \
\hline \mathrm { y } & 0.03 & - 1 & \frac { 2 } { 5 } & - \frac { 1 } { 4 }
\end{array}$$
A) $y = \frac { 0.3 } { x }$
B) $y = \frac { 30 } { x }$
C) $x = \frac { 0.3 } { y }$
D) $x = \frac { 3 } { y }$

Quizplus · Accepted Answer

The inverse variation equation is $y = \frac{k}{x}$, where $k$ is a constant. To find $k$, use any pair of $x$ and $y$ values from the table. For example, using $x = 10$ and $y = 0.03$, $k = xy = 10 \times 0.03 = 0.3$. Therefore, the equation is $y = \frac{0.3}{x}$.

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

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