Verified Answer :
The constant of proportionality in the equation \(y = 0.41x\) is \(\boxed{0.41}.\)
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 \(y = 0.41x.\)
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 inversely proportional relationship can be expressed as,
\(y \propto \dfrac{1}{x}\)
The equation can be expressed as follows,
\(y = kx\)
Here, k is the proportionality constant.
The given equation is \(y = 0.41x.\)
The \(y\) is the independent variable and x is the dependent variable.
The proportionality constant is \(0.41.\)
The constant of proportionality in the equation \(y = 0.41x\) is \(\boxed{0.41}.\)
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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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