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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