To find the constant of proportionality k we have to pick 2 points from the table. This points (x1,y1) and (x2,y2) will give the constant like:
[tex]k=\frac{y_2-y_1}{x_2-x_1}[/tex]
I'll pick the first two points:
• x1 = 6
,
• y1 = 21
,
• x2 = 7
,
• y2 = 24.5
[tex]k=\frac{24.5-21}{7-6}=\frac{3.5}{1}=3.5[/tex]
The constant of proportionality is k = 3.5
