Question

The quantities x and y are proportional.

x y
11 1 2/9
21 2 1/3
45 5
find the constant of proportionality (r) in the equation y=rx

Answer 1

Answer: r = 1/9

Explanation:

y = rx -->
`r=(y)/(x)`

`1)\ y=1(2)/(9)\rightarrow(11)/(9)\\\\.\quad x=11\\\\r=(11)/(9)/11\\\\\\r=(11)/(9)* (1)/(11)\quad =\large\boxed{r=(1)/(9)}`

`2)\ y=2(1)/(3)\rightarrow(7)/(3)\\\\.\quad x=21\\\\r=(7)/(3)/21\\\\\\r=(7)/(3)* (1)/(21)\quad =\large\boxed{r=(1)/(9)}`

`3)\ y=5\\\\.\quad x=45\\\\r=5/45\\\\\\r=(5)/(45)\quad =\large\boxed{r=(1)/(9)}`