If y varies inversely as x, find the inverse variation equation for the situation.
-$$y = 21 \text { when } x = \frac { 1 } { 7 }$$
A) $y = \frac { 3 } { x }$
B) $y = \frac { 1 } { 3 x }$
C) $y = 147 x$
D) $y = \frac { x } { 3 }$

Question

Quizplus · Accepted Answer

The inverse variation equation is of the form $y = \frac{k}{x}$, where $k$ is the constant of variation. Given $y = 21$ when $x = \frac{1}{7}$, we find $k$ by solving $21 = \frac{k}{\frac{1}{7}}$, which gives $k = 3$. Thus, the equation is $y = \frac{3}{x}$.

If Y Varies Inversely as X, Find the Inverse Variation y=21 when x=17y = 21 \text { when } x = \frac { 1 } { 7 }y=21 when x=71​

If Y Varies Inversely as X, Find the Inverse Variation $y = 21 \text { when } x = \frac { 1 } { 7 }$