Question

The proportionality constant ($\frac{y}{x}$) for the given graph is .

• A. $\frac{1}{10}$
• B. 5
• C. 10
• D. $\frac{1}{5}$

Answer 1

The correct option is B 5

On joining the dots, we get:


The graph of a direct variation equation is a straight line that passes through the origin.

The above graph is one such example.

Also, a constant change in $x$ corresponds to a constant change in $y.$

$⟹y\propto x$
$⟹y=Kx,$
where $K$ represents the constant of proportionality.

Labeling the points, we get:

Value of $x$	Value of $y$	$y=K\times x$	$K=\frac{y}{x}$
6	30	$30=5\times 6$	5
12	60	$60=5\times 12$	5
18	90	$90=5\times 18$	5
24	120	$120=5\times 24$	5
30	150	$150=5\times 30$	5

$\therefore K=5$

∴ The proportionality constant for the given graph is 5.