Answer:
The constant, k, is 4.32.
Step-by-step explanation:
y varies inversely with x means y=k/x.
y varies directly with x means y=kx.
Anyways we have the first relation: y=k/x where k is a constant.
We divided by x because it said inversely.
We are given (x,y)=(1.2,3.6) is on this curve.
This gives us enough information to find the constant, k.
[tex]y=\frac{k}{x}[/tex] with [tex](x,y)=(1.2,3.6)[/tex].
[tex]3.6=\frac{k}{1.2}[/tex]
Multiply both sides by 1.2:
[tex]3.6(1.2)=k[/tex]
[tex]4.32=k[/tex]
The constant, k, is 4.32.
