Question

Let x = 6 and y = 12. If x is directly proportional to y, then which of the following can be the constant of proportionality?

• A. $3$
• B. $\frac{1}{2}$
• C. $\frac{5}{6}$
• D. $6$

Answer 1

The correct option is B $\frac{1}{2}$

$\text{Given:}x=6,y=12\text{and}x\propto y$
$\text{To find: Constant of proportionality}$

$\text{Since,}x\propto y\Rightarrow x=ky$
$6=k\left(12\right)k=\frac{6}{12}=\frac{1}{2}$

$\text{Hence,}\frac{1}{2}\text{is the constant}\text{of proportionality.}$