The value of y varies directly as x, and y =9 when x =3/2. Write a direct variation equation that relates the two variables then find the value of x = 12

Respuesta :

Answer:  [tex]\frac{y}{x} = 6[/tex],  y = 72

Step-by-step explanation:

varies directly is: [tex]\frac{y}{x} = k[/tex]

                            [tex]\frac{9}{\frac{3}(2)} = k[/tex]  

                            [tex]\frac{9(2)}{3} = k[/tex]  

                                              [tex]6 = k[/tex]

[tex]\frac{y}{x} = 6[/tex]

[tex]\frac{y}{12} = 6[/tex]

[tex]\frac{y}{12}(12) = 6(12)[/tex]

 y = 72                          

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