Answer:
The Constant of proportionality is:
[tex]k=0.05[/tex]
Step-by-step explanation:
To solve this exercise it is important to remember that, by definition, a Proportional relationship has the following form:
[tex]y=kx[/tex]
Where "k" is the Constant of proportionality.
In this case the exercise gives you the following equation that represents a Proportional relationship:
[tex]5y = 0.25x[/tex]
In order to find the Constant of Proportionality, you must solve for "y".
To solve for "y" you can divide both sides of the equation by 5. Then:
[tex]\frac{5y}{5}=\frac{0.25x}{5}\\\\y=0.05x[/tex]
Therefore, you can identify that the Constant of Proportionality is:
[tex]k=0.05[/tex]
