Find the constant proportionality for the ratio 2/5

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

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OrethaWilkison OrethaWilkison · Answer 2 · 2019-02-20T04:19:46-05:00

Answer:

constant of proportionality is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The direct proportionality says that:

[tex]y \propto x[/tex]

then the equation is in the form of:

[tex]y = kx[/tex] .......[1]

where, k is the constant of proportionality.

As per the statement:

Given the ratio 2/5

i.e,

[tex]\frac{y}{x} = \frac{2}{5}[/tex]

then using [1] we have;

[tex]\frac{y}{x}=k[/tex]

⇒[tex]\frac{2}{5} = k[/tex]

or

[tex]k= \frac{2}{5}[/tex]

Therefore, the constant of proportionality for the ratio of 2/5 is; [tex]\frac{2}{5}[/tex]