Find the constant of variation for the stated condition: y varies inversely as x , and y = -144 when $x = \frac { 8 } { 7 }$ .
A) $k = - \frac { 7 } { 8 }$
B) $k = - 35 \frac { 8 } { 7 }$
C)k = 156
D) $k = - \frac { 8 } { 7 }$
E)k = -156

Question

Quizplus · Accepted Answer

The constant of variation, $k$, in an inverse variation $y = \frac{k}{x}$, can be found by multiplying $y$ and $x$. Thus, $k = y \cdot x = -144 \cdot \frac{8}{7} = -156$.

Find the Constant of Variation for the Stated Condition: Y x=87x = \frac { 8 } { 7 }x=78​

Find the Constant of Variation for the Stated Condition: Y $x = \frac { 8 } { 7 }$