Question

What is the constant of proportionality in the equation y = 2.5x?

Answer 1

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $\frac{y}{x}=k$ or $y=kx$

where

k is the constant of proportionality

In this problem we have

$y=2.5x$

so

the constant of proportionality k is equal to

$k=2.5$

therefore

the answer is

$k=2.5$

Answer 2

The constant of proportionality in the equation $y = 2.5x$ is $\boxed{2.5}.$

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 $y = 2.5x.$

Explanation:

The proportionality equation can be expressed as follows,

$y \propto x$

The value of $y$ changes as $x$ changes. If the value of $x$ increases then the value of y is also increasing.

The equation can be expressed as follows,

$y = kx$

The inversely proportional relationship can be expressed as,

$y \propto \dfrac{1}{x}$

Here, $k$ is the proportionality constant.

The given equation is $y = 2.5x.$

The y is the independent variable and $x$ is the dependent variable.

The proportionality constant is 2.5.

The constant of proportionality in the equation $y = 2.5x$ is $\boxed{2.5}.$

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 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.