Question

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

Answer 1

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:

`y=rx` (substitute in, x = 8 and y = 2)

`2=r*8` (divide both sides by 8)

`(2)/(8)=r` (simplify the fraction)

`(1)/(4)=r` (Change to a decimal)

`0.25 = r`

So

`r=0.25`

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Answer:

`r=0.25`