Question

The equation 5y = 0.25x represents a proportional relationship. What is the constant of proportionality?

Answer 1

Answer:  

The Constant of proportionality is:

$k=0.05$

Step-by-step explanation:

To solve this exercise it is important to remember that, by definition,  a Proportional relationship has the following form:

$y=kx$

Where "k" is the Constant of proportionality.

In this case the exercise gives you the following equation that represents a Proportional relationship:

$5y = 0.25x$

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:

$\frac{5y}{5}=\frac{0.25x}{5}\\\\y=0.05x$

Therefore, you can identify that the Constant of Proportionality is:

$k=0.05$