The constant of proportionality in the equation [tex]y = 0.41x[/tex] is [tex]\boxed{0.41}.[/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 = 0.41x.[/tex]
Explanation:
The proportionality equation can be expressed as follows,
[tex]y \propto x[/tex]
The value of y changes as x changes. If the value of x increases then the value of y is also increasing.
The inversely proportional relationship can be expressed as,
[tex]y \propto \dfrac{1}{x}[/tex]
The equation can be expressed as follows,
[tex]y = kx[/tex]
Here, k is the proportionality constant.
The given equation is [tex]y = 0.41x.[/tex]
The [tex]y[/tex] is the independent variable and x is the dependent variable.
The proportionality constant is [tex]0.41.[/tex]
The constant of proportionality in the equation [tex]y = 0.41x[/tex] is [tex]\boxed{0.41}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Ratio and proportion
Keywords:proportional, directly proportional, constant, proportionality equation, y=0.41x, constant of proportionality.
We are required to find the constant of proportionality in the equation.
The constant of proportionality in the equation y = 0.41x is 0.41
Given:
y = 0.41x
similar to direct variation in the form
y = k × x
where,
y = dependent variable
x = independent variable
k = constant.
Therefore, the constant of proportionality in the equation y = 0.41x is 0.41
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