Determine the constant of variation for the stated condition.
-If $y$ varies directly as the square of $x$, and $y = 540$ when $x = 15$, find $y$ when $x = 10$.
A) 240
B) 360
C) 1215
D) 810

Question

Quizplus · Accepted Answer

The constant of variation $k$ can be found using the equation $y = kx^2$ with $y = 540$ and $x = 15$, giving $k = 540 / 15^2 = 2.4$. To find $y$ when $x = 10$, substitute $k = 2.4$ and $x = 10$ into the equation to get $y = 2.4 \times 10^2 = 240$.

Determine the Constant of Variation for the Stated Condition yyy Varies Directly as the Square Of

Determine the Constant of Variation for the Stated Condition $y$ Varies Directly as the Square Of