Write an equation that expresses the relationship. Use k as the constant of variation.
-$x$ varies inversely as $y ^ { 2 }$, and $x = 3$ when $y = 12$. Find $x$ when $y = 2$.
A) $x = 108$
B) $x = 54$
C) $x = 12$
D) $x = 6$ Solve.

Question

Quizplus · Accepted Answer

The relationship is given by $x = \frac{k}{y^2}$. To find $k$, use $x = 3$ when $y = 12$: $3 = \frac{k}{12^2}$, so $k = 3 \times 12^2 = 432$. For $y = 2$, $x = \frac{432}{2^2} = \frac{432}{4} = 108$.

Write an Equation That Expresses the Relationship xxx Varies Inversely As y2y ^ { 2 }y2

Write an Equation That Expresses the Relationship $x$ Varies Inversely As $y ^ { 2 }$