Answer
see graph
Work Step by Step
With $
k=5
,$ then the given variation model, $y=\dfrac{k}{x},$ becomes
\begin{array}{l}\require{cancel}
y=\dfrac{5}{x}
.\end{array}
If $x=\dfrac{1}{4},$ then
\begin{array}{l}\require{cancel}
y=\dfrac{5}{1/4}
\\\\
y=5\div\dfrac{1}{4}
\\\\
y=5\cdot\dfrac{4}{1}
\\\\
y=20
.\end{array}
If $x=\dfrac{1}{2},$ then
\begin{array}{l}\require{cancel}
y=\dfrac{5}{1/2}
\\\\
y=5\div\dfrac{1}{2}
\\\\
y=5\div\dfrac{2}{1}
\\\\
y=10
.\end{array}
If $x=1,$ then
\begin{array}{l}\require{cancel}
y=\dfrac{5}{1}
\\\\
y=5
.\end{array}
If $x=2,$ then
\begin{array}{l}\require{cancel}
y=\dfrac{5}{2}
.\end{array}
If $x=4,$ then
\begin{array}{l}\require{cancel}
y=\dfrac{5}{4}
.\end{array}
The completed table and the corresponding graph are shown above.