A realtor makes 5% commission on each sale.


Define the variables and write an equation to represent the relationship between the price of a home and the commission received.

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Respuesta :

Answer:

VARIABLES

[tex]y[/tex]: The comission received.

[tex]x[/tex]: The price of a home.

EQUATION

 [tex]y=0.05x[/tex]

Step-by-step explanation:

The amount of money a salesperson earned after selling a product is  called "Comission".

The comission and the price of the product sold by salesperson, are directly proportional.

By definition, Direct proportion equations have the following form:

[tex]y=kx[/tex]

Where "k" is the constant of proportionality.

Let be:

[tex]y[/tex]: The comission received.

[tex]x[/tex]: The price of a home.

Since the realtor makes 5% commission on each sale, the comission is the constant of proportionality.

Knowin that:

[tex]5\%=\frac{5}{100}=0.05[/tex]

We get that the constant of proportionality is:

[tex]k=0.05[/tex]

Therefore, the equation that represents the relationship between the price of a home and the commission received is:

[tex]y=0.05x[/tex]