Find an equation of variation in which y varies inversely as x and the following is true.
-$y = 0.5$, when $x = 24$
A) $y = 12 x$
B) $y = \frac { 15 } { x }$
C) $y = \frac { 13 } { x }$
D) $y = \frac { 12 } { x }$

Question

Quizplus · Accepted Answer

The equation for inverse variation is $y = \frac{k}{x}$, where $k$ is the constant of variation. Given $y = 0.5$ when $x = 24$, we find $k$ by substituting these values: $0.5 = \frac{k}{24}$, which gives $k = 12$. Thus, the equation is $y = \frac{12}{x}$.

Find an Equation of Variation in Which Y Varies Inversely y=0.5y = 0.5y=0.5

Find an Equation of Variation in Which Y Varies Inversely $y = 0.5$