Find the equation of variation if the following is true.
-Suppose that y varies directly as z and y = 40 when z = 240.
A) $y = - 2 z$
B) $y = 6 z$
C) $y = - \frac { 1 } { 2 } z$
D) $y = \frac { 1 } { 6 } z$

Question

Find the equation of variation if the following is true.
-Suppose that y varies directly as z and y = 40 when z = 240. 
A) $y = - 2 z$
B) $y = 6 z$
C) $y = - \frac { 1 } { 2 } z$
D) $y = \frac { 1 } { 6 } z$

Quizplus · Accepted Answer

Direct variation is given by the equation $y = k z$, where $k$ is the constant of variation. Given $y = 40$ when $z = 240$, we find $k$ by solving $40 = k \cdot 240$, which gives $k = \frac{1}{6}$. Thus, the equation of variation is $y = \frac{1}{6} z$.

Find the Equation of Variation If the Following Is True y=−2zy = - 2 zy=−2z

Find the Equation of Variation If the Following Is True $y = - 2 z$