Respuesta :
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
We have been given an equation [tex]y=\frac{5}{4}x[/tex] and we are asked to find the constant of proportionality in the given equation.
If two variables are proportional, there is always a constant ratio between them. This constant is called the constant of proportionality.
Since we know that a directly proportional equation in in form: [tex]y=kx[/tex], where k is constant of proportionality.
Upon comparing our given equation with the directly proportional equation we can see that [tex]k=\frac{5}{4}[/tex], therefore, constant of proportionality in our given equation is [tex]\frac{5}{4}[/tex].
When 'y' is directly proportional to 'x' then according to the given expression the proportionality constant will be 5/4 and this can be determined by using the definition of proportionality constant.
Given :
Equation - [tex]y = \dfrac{5}{4}x[/tex]
When two variables are proportional to each other, then their ratio will be equal to a constant, then that constant is known as the proportionality constant.
So, in the given expression y is directly proportional to x then their ratio is equal to a constant which is given by:
[tex]\dfrac{y}{x}=\dfrac{5}{4}[/tex]
Therefore, when 'y' is directly proportional to 'x' then according to the given expression the proportionality constant will be 5/4.
For more information, refer to the link given below:
https://brainly.com/question/2263981
