The quantities of x and y are proportional. Find the constant of proportionality (r) in the equation y= rx

All you have to do is choose one of the rows, and then substitute in the values for x and y into the equation y = rx, and then solve for r:
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I'll choose the first row, where x = 8 when y = 2:
[tex]y=rx[/tex] (substitute in, x = 8 and y = 2)
[tex]2=r\times8[/tex] (divide both sides by 8)
[tex]\frac{2}{8}=r[/tex] (simplify the fraction)
[tex]\frac{1}{4}=r[/tex] (Change to a decimal)
[tex]0.25 = r[/tex]
So
[tex]r=0.25[/tex]
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Answer:
[tex]r=0.25[/tex]