Respuesta :

Answer:

[tex]y=3/x[/tex]  or [tex]yx=3[/tex]

The graph in the attached figure

Step-by-step explanation:

we know that

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

so

in this problem we have

y=0.75 when x=4

Find the value of k

[tex]y*x=k[/tex]

[tex]k=0.75*4=3[/tex]

The equation is equal to

[tex]y=3/x[/tex]

using a graphing tool

see the attached figure

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