Determine the constant of variation for the stated condition.
-If $y$ varies directly as $x$, and $y = 300$ when $x = 100$, find $y$ when $x = 40$.
A) 120
B) 750
C) $\frac { 40 } { 3 }$
D) $\frac { 3 } { 40 }$

Question

Quizplus · Accepted Answer

The constant of variation $k$ can be found using the formula $y = kx$. Given $y = 300$ when $x = 100$, we find $k = \frac{300}{100} = 3$. To find $y$ when $x = 40$, substitute $k = 3$ and $x = 40$ into $y = kx$, yielding $y = 3 \times 40 = 120$.

Determine the Constant of Variation for the Stated Condition yyy Varies Directly As

Determine the Constant of Variation for the Stated Condition $y$ Varies Directly As