Question

If $x$ and $y$ have the following values, establish their relationship and find the constant of proportionality.

• A. $y\propto x,K=3$
• B. $y\propto x,K=4$
• C. $y\propto \frac{1}{x},K=3$
• D. $y\propto \frac{1}{x},K=4$

Answer 1

The correct option is B $y\propto x,K=4$


Clearly, as $x$ increases, $y$ also increases.

Hence, $x$ and $y$ are directly proportional.

Since, they are directly proportional, $y=Kx$.

Taking any random pair of values for $x$ and $y$ from the table, we find that $K=4$.