Suggested languages for you:

Americas

Europe

Q17.

Expert-verifiedFound in: Page 731

Book edition
Student Edition

Author(s)
Carter, Cuevas, Day, Holiday, Luchin

Pages
801 pages

ISBN
9780078884801

**Assume that $y$ varies inversely as $x$. Write an inverse variation equation that relates $x$ and $y$.**

**role="math" localid="1648019765637" $y=2$ when $x=8$**

The inverse variation equation is $\mathit{x}\mathit{y}\mathbf{=}\mathbf{16}$.

$y$ varies inversely as $x$ if there is some nonzero constant $k$ such that $xy=k$, where $x,y\ne 0$.

Substitute 2 for $y$ and 8 for $x$ into $xy=k$.

$2\cdot 8=k\phantom{\rule{0ex}{0ex}}16=k$

The constant of the variation is 16. Therefore, the inverse variation equation is $xy=16$.

94% of StudySmarter users get better grades.

Sign up for free