Respuesta :

Answer: [tex]y=13.5[/tex]


Step-by-step explanation:

1. By definition, if [tex]y=9[/tex] when [tex]x=2[/tex], then:

[tex]\frac{y}{x}=\frac{9}{2}[/tex]

2. Keeping this on mind, to find the value of [tex]y[/tex] when [tex]x=3[/tex], you must apply the following proccedure:

[tex]\frac{y}{3}=\frac{9}{2}[/tex]

3. Now, you must solve for [tex]y[/tex], as following:

[tex]y=3(\frac{9}{2})\\y=\frac{27}{2}\\y=13.5[/tex]

4. Then, the result is:

[tex]y=13.5[/tex]