Find the variation equation for the variation statement.
-$y$ varies directly as the square of $x ; y = 150$ when $x = 5$
A) $y = 25 x$
B) $y = 150 x$
C) $y = 30 x$
D) $y = 6 x ^ { 2 }$

Question

Quizplus · Accepted Answer

The variation equation for direct variation is $y = kx^n$, where $k$ is the constant of variation and $n$ is the power of $x$. Given $y$ varies directly as the square of $x$ and $y = 150$ when $x = 5$, we find $k$ by substituting the given values: $150 = k(5)^2$, which simplifies to $150 = 25k$. Solving for $k$ gives $k = 6$, so the variation equation is $y = 6x^2$.

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

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