Answer:
a) [tex]y=\frac{50}{x}[/tex]
b) [tex]y=25[/tex] when [tex]x=2[/tex]
Step-by-step explanation:
[tex]y=\frac{k}{x}[/tex] since y varies inversely with x.
We need to find the constant, k.
Let's use a point (x,y) on the curve.
We are given an (x,y)=(5,10):
[tex]10=\frac{k}{5}[/tex]
Multiply both sides by 5:
[tex]10(5)=k[/tex]
[tex]50=k[/tex].
So the equation is:
[tex]y=\frac{50}{x}[/tex]
What is y when x=2?
[tex]y=\frac{50}{2}[/tex]
[tex]y=25[/tex]
