Answer:
B
Step-by-step explanation:
We are given that y varies inversely with x. Recall that inverse variation has the form:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of variation.
We are given that y = 36 when x = 1/12. Thus:
[tex]\displaystyle (36)=\frac{k}{\left({}^{1}\!/\!{}_{12}\right)}[/tex]
Solve for k. Multiply both sides by 1/12:
[tex]\displaystyle k=\frac{1}{12}(36)=3[/tex]
Hence, our equation is:
[tex]\displaystyle y=\frac{3}{x}[/tex]
Our answer is B.
