Answer:
[tex]y=\frac{15}{x}[/tex]
Step-by-step explanation:
If [tex]y[/tex] varies inversely with [tex]x[/tex], then there is a constant, [tex]k[/tex], such that [tex]y=\frac{k}{x}[/tex].
We know a point [tex](x,y)=(3,5)[/tex] is on the curve. This will allow us to find this constant, [tex]k[/tex].
[tex]y=\frac{k}{x}[/tex] with [tex](x,y)=(3,5)[/tex]:
[tex]5=\frac{k}{3}[/tex]
Multiply both sides by [tex]3[/tex]:
[tex]5(3)=k[/tex]
Simplify:
[tex]15=k[/tex]
So the equation is:
[tex]y=\frac{15}{x}[/tex].
