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:
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]