Write the equation that expresses the relationship between the variables described below, then use the given data to solve for the variation of constant. "y varies directly as $z$ , and $y = 86.66$ when $z = 14.$ "
A) $y = \frac { k } { z }$ ; $k = 1213.24$
B) $y = \sqrt { k } z$ ; $k = 38.32$
C) $y = k z$ ; $k = 6.19$
D) $y = k ^ { 2 } z$ ; $k = 2.49$
E) $y = \sqrt { k z }$ ; $k = 536.43$

Question

Quizplus · Accepted Answer

Direct variation is represented by the equation $y = kz$, where $k$ is the constant of variation. Given $y = 86.66$ when $z = 14$, solving for $k$ gives $k = \frac{86.66}{14} = 6.19$.

Write the Equation That Expresses the Relationship Between the Variables zzz

Write the Equation That Expresses the Relationship Between the Variables $z$