Find the variation equation for the variation statement.
-$y$ varies inversely as the square of $x ; y = 6$ when $x = 2$
A) $y = \frac { x } { 24 }$
B) $y = \frac { 24 } { x ^ { 2 } }$
C) $y = \frac { 24 } { x }$
D) $y = \frac { x ^ { 2 } } { 24 }$

Question

Quizplus · Accepted Answer

The statement "y varies inversely as the square of x" can be represented by the equation $y = \frac{k}{x^2}$, where $k$ is the constant of variation. Given $y = 6$ when $x = 2$, we can solve for $k$ by substituting these values into the equation: $6 = \frac{k}{2^2}$, which simplifies to $6 = \frac{k}{4}$, giving $k = 24$. Therefore, the variation equation is $y = \frac{24}{x^2}$.

Find the Variation Equation for the Variation Statement yyy Varies Inversely as the Square Of

Find the Variation Equation for the Variation Statement $y$ Varies Inversely as the Square Of