Question

Can someone help wit this problem I’m confused on it

Answer 1

Answer: r =
`(1)/(9)`

Explanation:

y = rx

finding r (substitute y and x):

5 = r x 45

5/45 = r

r =
`(5)/(45) = simplify = (1)/(9)`

checking:

rx = y

`(1)/(9)` x 11 = 1
`(2)/(9)`

`(11)/(9)` = 1
`(2)/(9)`

convert mixed fraction into improper fraction

`(11)/(9)` =
`(11)/(9)`

correct

Answer 2

1/9

Explanation:

When the quantities are proportional, you are able to find the constant of proportionality by y/x. If you take each one of the y's listed and divide it by x, you will get 1/9.

For example 1 2/9 ÷11

1 2/9 is the same at 9/9 + 2/9 or 11/9

`(11)/(9)` ÷ 11 is the same as
`(11)/(9)` ÷
`(11)/(1)` To divide with fractions, you multiply by the reciprocal.

`(11)/(9)` x
`(1)/(11)` The 11 can cancel out and we are left with
`(1)/(9)`