What is the constant of proportionality in the equation y=\dfrac54xy= 4 5 xy, equals, start fraction, 5, divided by, 4, end fraction, x?

Step-by-step explanation:

We have been given an equation and we are asked to find the constant of proportionality in the given equation.

If two variables are proportional, there is always a constant ratio between them. This constant is called the constant of proportionality.    

Since we know that a directly proportional equation in in form: , where k is constant of proportionality.

Upon comparing our given equation with the directly proportional equation we can see that , therefore, constant of proportionality in our given equation is .

When 'y' is directly proportional to 'x' then according to the given expression the proportionality constant will be 5/4 and this can be determined by using the definition of proportionality constant.

Given :

Equation -

When two variables are proportional to each other, then their ratio will be equal to a constant, then that constant is known as the proportionality constant.

So, in the given expression y is directly proportional to x then their ratio is equal to a constant which is given by:

Therefore, when 'y' is directly proportional to 'x' then according to the given expression the proportionality constant will be 5/4.

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