Respuesta :

brainsoft

Answer:

The constant of proportionality is 0.3

Step-by-step explanation:

» The graph shows a direct proportiinality.

[tex]{ \rm{y \: \alpha \: x}}[/tex]

» Therefore, input the constant;

[tex]{ \rm{y = kx}}[/tex]

» When x is 5, y is 1.5:

[tex]{ \tt{1.5 = (k \times 5)}} \\ { \rm{k = 0.3}}[/tex]

semsee45

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) = [tex](x_1,y_1)[/tex]

Let (20, 6) = [tex](x_2,y_2)[/tex]

Formula of a slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies m=\dfrac{6-1.5}{20-5}=0.3[/tex]

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

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