Write an equation that expresses the relationship. Use k as the constant of variation.
-$x$ varies inversely as $\mathrm { v }$, and $x = 42$ when $\mathrm { v } = 8$. Find $\mathrm { x }$ when $\mathrm { v } = 48$.
A) $x = 7$
B) $x = 64$
C) $x = 56$
D) $x = 6$

Question

Quizplus · Accepted Answer

The relationship is given by $x = \frac{k}{v}$. Substituting $x = 42$ and $v = 8$, we find $k = 336$. To find $x$ when $v = 48$, substitute $k = 336$ and $v = 48$ into the equation to get $x = \frac{336}{48} = 7$.

Write an Equation That Expresses the Relationship xxx Varies Inversely As v\mathrm { v }v

Write an Equation That Expresses the Relationship $x$ Varies Inversely As $\mathrm { v }$