Question

The quantities xxx and yyy are proportional.

xxx yyy

222 141414

666 424242

111111 777777

Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.

r =r

Answer 1

Therefore the constant of proportional is r=7.

Explanation:

The quantities x and y are proportional.

x y

i) 2 14

ii) 6 42

iii) 11 77

Since x and y are proportional.

y= rx

(i)

Now plug y= 14 and x=2

14=r.2

`\Rightarrow r=(14)/(2)`

`\Rightarrow r=7`

(ii)

Now plug y= 42 and x=6

42=r.6

`\Rightarrow r=(42)/(6)`

`\Rightarrow r=7`

(iii)

Now plug y=11 and x=77

77=r.11

`\Rightarrow r=(77)/(11)`

`\Rightarrow r=7`

Therefore the constant of proportional is r=7.