the quantities x and y are proportional.\nfind the constant of proportionality (r) in the equation y =…

Explanation:

Step1: Use the formula for constant of proportionality

Given (y = rx), we can find (r) by (r=\frac{y}{x}).

Step2: Substitute values from the table

Using the first pair ((x = 9,y = 4.5)), (r=\frac{4.5}{9}). [ r=\frac{4.5}{9}=\frac{45}{90}=\frac{1}{2}=0.5 ] Check with the second pair ((x = 14,y = 7)), (r=\frac{7}{14}=\frac{1}{2}=0.5). Check with the third pair ((x = 30,y = 15)), (r=\frac{15}{30}=\frac{1}{2}=0.5).

Answer:

(0.5)