x=-8, when y=-1/4 in an inverse variation. Find y, when x=4.

ka1leE 2021-09-27 Answered
x=-8, when \(\displaystyle{y}=-\frac{{1}}{{4}}\) in an inverse variation.
Find y, when x=4.

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Expert Answer

Maciej Morrow
Answered 2021-09-28 Author has 4543 answers
The equation for an inverse variation:
\(\displaystyle{y}=\frac{{k}}{{x}}\)
Solve for k:
\(\displaystyle-\frac{{1}}{{4}}=\frac{{k}}{{-{8}}}\)
\(\displaystyle{k}={\left(-{8}\right)}\times{\left(-\frac{{1}}{{4}}\right)}\)
k=2
Substitute x=4, to find y:
\(\displaystyle{y}=\frac{{2}}{{4}}\)
\(\displaystyle{y}=\frac{{1}}{{2}}\)
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