Question

What will be the equation to represent this graph?

• A. $y=\frac{30}{x}$
• B. $x\times y=15$
• C. $x=\frac{y}{30}$
• D. $y\times x=\frac{1}{30}$

Answer 1

The correct option is A $y=\frac{30}{x}$

This curved graph is a characteristic of indirect variation relation.
The product of variables $x$ and $y$ is constant for all sets of the distribution. We can claim that $k=x\times y$ for inverse proportionality.
Considering the point ($2,5$) with $x=2$ and $y=5$
we have $k=2\times 15=30$

Therefore, writing the equation:

$k=x\times y$

$\Rightarrow 30=x\times y$

$\Rightarrow y=\frac{30}{x}$

Option (a.) is correct.