## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

variation constant $=k=1.7$ equation: $y=1.7x$
RECALL: When $y$ varies directly as $x$, the equation that represents the variation is of the form $y=kx$ where $k$ is the constant of variation. Find the constant of variation by substituting the given values into the equation $y=kx$ to obtain: $$y=kx \\3.4=k(2) \\\frac{3.4}{2}=\frac{k(2)}{2} \\1.7=k$$ Thus, the equation of the direct variation is: $$y=1.7x$$