Answer:
An inverse variation function has the following form:
[tex]y=\frac{k}{x }[/tex]
where is constant.
Because the function traverses (4, 5). therefore
5[tex]5=\frac{k}{4}[/tex]
[tex]k=20[/tex]
As a result, the required function is
[tex]y=\frac{20}{x}[/tex]
or
[tex]xy=20[/tex]
Check that the function is correct by passing it through the point (10, 2).
When x = 10, get
[tex]y=\frac{20}{10} =2[/tex]
This confirms that the function is correct.
Answer: [tex]y=\frac{20}{x} or xy=20[/tex]
I hope this helps.
