Question

Find the constant proportionality for the ratio 2/5

Answer 1

The "constant of proportionality" is the value that relates the two amountsExample: you are paid $20 an hour (continued)The constant of proportionality is 20 because:Earnings = 20 × Hours worked

This can be written: y = kx

Where k is the constant of proportionality

Answer 2

constant of proportionality is
`(2)/(5)`

Explanation:

The direct proportionality says that:

`y \propto x`

then the equation is in the form of:

`y = kx` .......[1]

where, k is the constant of proportionality.

As per the statement:

Given the ratio 2/5

i.e,

`(y)/(x) = (2)/(5)`

then using [1] we have;

`(y)/(x)=k`

⇒
`(2)/(5) = k`

or

`k= (2)/(5)`

Therefore, the constant of proportionality for the ratio of 2/5 is;
`(2)/(5)`