Respuesta :

calculista

Answer:

The value of the constant of proportionality is [tex]k=5[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

The value of the constant k is equal to the value of the slope

In this problem we have

[tex]y=5x[/tex] ------> is a linear direct variation

The slope is [tex]m=5[/tex]

therefore

The value of the constant of proportionality is [tex]k=5[/tex]

fichoh

The constant of proportionality on the equation is 5.

To obtain the constant of proportionality ;

  • We compare the general direct proportionality relation with the equation given.

  • The equation given : y = 5x

The direct relationship between y and x is :

y α x

y = kx - - - (1)

Where, y and x are variables and k is the constant of proportionality.

Comparing equation (1) with the equation given :

y = kx

y = 5x

We can observe that, k in the equation (1) equals to 5 in the given equation.

Hence, the constant of proportionality is 5

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