Respuesta :
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]\frac{y}{x}=k[/tex] or [tex]y=kx[/tex]
where
k is the constant of proportionality
In this problem we have
[tex]y=2.5x[/tex]
so
the constant of proportionality k is equal to
[tex]k=2.5[/tex]
therefore
the answer is
[tex]k=2.5[/tex]
The constant of proportionality in the equation [tex]y = 2.5x[/tex] is [tex]\boxed{2.5}.[/tex]
Further explanation:
The relation is defined as the relationship between the input values and output values.
The x coordinates are the domain of the function and the y coordinates are the range of the function.
Given:
The equation is [tex]y = 2.5x.[/tex]
Explanation:
The proportionality equation can be expressed as follows,
[tex]y \propto x[/tex]
The value of [tex]y[/tex] changes as [tex]x[/tex] changes. If the value of [tex]x[/tex] increases then the value of y is also increasing.
The equation can be expressed as follows,
[tex]y = kx[/tex]
The inversely proportional relationship can be expressed as,
[tex]y \propto \dfrac{1}{x}[/tex]
Here, [tex]k[/tex] is the proportionality constant.
The given equation is [tex]y = 2.5x.[/tex]
The y is the independent variable and [tex]x[/tex] is the dependent variable.
The proportionality constant is 2.5.
The constant of proportionality in the equation [tex]y = 2.5x[/tex] is [tex]\boxed{2.5}.[/tex]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Ratio and proportion
Keywords: proportional, directly proportional, constant, proportionality equation, y=0.41x, constant of proportionality.