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]