Question

This graph shows a proportional relationship.

Answer 1

Answer:

The constant of proportionality is 0.3

Step-by-step explanation:

» The graph shows a direct proportiinality.

${ \rm{y \: \alpha \: x}}$

» Therefore, input the constant;

${ \rm{y = kx}}$

» When x is 5, y is 1.5:

${ \tt{1.5 = (k \times 5)}} \\ { \rm{k = 0.3}}$

Answer 2

Answer:

0.3

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin.  

Slope of a graph = constant of proportionality of the equation

Let (5, 1.5) = $(x_1,y_1)$

Let (20, 6) = $(x_2,y_2)$

Formula of a slope: $m=\dfrac{y_2-y_1}{x_2-x_1}$

$\implies m=\dfrac{6-1.5}{20-5}=0.3$

So as the slope = 0.3, the constant of proportionality = 0.3